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Finding the Fourth Proportional to 523,058.97, 784,588.47 and 149,072.25

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Solution

The fourth proportional to 523,058.97, 784,588.47 and 149,072.25 is: 223,608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,058.97 : 784,588.47 = 149,072.25 : x
  2. Step 2: Convert to fraction form
    523,058.97/784,588.47 = 149,072.25/x
  3. Step 3: Cross multiply
    523,058.97x = 784,588.47 × 149,072.25
  4. Step 4: Simplify right side
    523,058.97x = 116,960,368,546.96
  5. Step 5: Solve for x
    x = 116,960,368,546.96/523,058.97
  6. Step 6: Final answer
    x = 223,608.38

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.