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Finding the Fourth Proportional to 415,222.27, 573,006.74 and 224,235.66

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Solution

The fourth proportional to 415,222.27, 573,006.74 and 224,235.66 is: 309,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,222.27 : 573,006.74 = 224,235.66 : x
  2. Step 2: Convert to fraction form
    415,222.27/573,006.74 = 224,235.66/x
  3. Step 3: Cross multiply
    415,222.27x = 573,006.74 × 224,235.66
  4. Step 4: Simplify right side
    415,222.27x = 128,488,543,407.17
  5. Step 5: Solve for x
    x = 128,488,543,407.17/415,222.27
  6. Step 6: Final answer
    x = 309,445.21

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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.