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Finding the Fourth Proportional to 415,359.96, 573,196.26 and 224,373.32

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Solution

The fourth proportional to 415,359.96, 573,196.26 and 224,373.32 is: 309,634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,359.96 : 573,196.26 = 224,373.32 : x
  2. Step 2: Convert to fraction form
    415,359.96/573,196.26 = 224,373.32/x
  3. Step 3: Cross multiply
    415,359.96x = 573,196.26 × 224,373.32
  4. Step 4: Simplify right side
    415,359.96x = 128,609,947,867.78
  5. Step 5: Solve for x
    x = 128,609,947,867.78/415,359.96
  6. Step 6: Final answer
    x = 309,634.92

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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.