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Finding the Fourth Proportional to 523,034.05, 784,551.08 and 257,313.55

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Solution

The fourth proportional to 523,034.05, 784,551.08 and 257,313.55 is: 385,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,034.05 : 784,551.08 = 257,313.55 : x
  2. Step 2: Convert to fraction form
    523,034.05/784,551.08 = 257,313.55/x
  3. Step 3: Cross multiply
    523,034.05x = 784,551.08 × 257,313.55
  4. Step 4: Simplify right side
    523,034.05x = 201,875,622,264.57
  5. Step 5: Solve for x
    x = 201,875,622,264.57/523,034.05
  6. Step 6: Final answer
    x = 385,970.33

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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.