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Finding the Fourth Proportional to 415,407.72, 573,261.66 and 224,420.52

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Solution

The fourth proportional to 415,407.72, 573,261.66 and 224,420.52 is: 309,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,407.72 : 573,261.66 = 224,420.52 : x
  2. Step 2: Convert to fraction form
    415,407.72/573,261.66 = 224,420.52/x
  3. Step 3: Cross multiply
    415,407.72x = 573,261.66 × 224,420.52
  4. Step 4: Simplify right side
    415,407.72x = 128,651,679,833.26
  5. Step 5: Solve for x
    x = 128,651,679,833.26/415,407.72
  6. Step 6: Final answer
    x = 309,699.78

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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.