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Finding the Fourth Proportional to 415,344.90, 573,175.62 and 224,358.24

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Solution

The fourth proportional to 415,344.90, 573,175.62 and 224,358.24 is: 309,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,344.90 : 573,175.62 = 224,358.24 : x
  2. Step 2: Convert to fraction form
    415,344.90/573,175.62 = 224,358.24/x
  3. Step 3: Cross multiply
    415,344.90x = 573,175.62 × 224,358.24
  4. Step 4: Simplify right side
    415,344.90x = 128,596,673,314.11
  5. Step 5: Solve for x
    x = 128,596,673,314.11/415,344.90
  6. Step 6: Final answer
    x = 309,614.19

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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.