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Finding the Fourth Proportional to 417,575.39, 576,255.59 and 226,588.80

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Solution

The fourth proportional to 417,575.39, 576,255.59 and 226,588.80 is: 312,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,575.39 : 576,255.59 = 226,588.80 : x
  2. Step 2: Convert to fraction form
    417,575.39/576,255.59 = 226,588.80/x
  3. Step 3: Cross multiply
    417,575.39x = 576,255.59 × 226,588.80
  4. Step 4: Simplify right side
    417,575.39x = 130,573,058,617.17
  5. Step 5: Solve for x
    x = 130,573,058,617.17/417,575.39
  6. Step 6: Final answer
    x = 312,693.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.