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Finding the Fourth Proportional to 522,857.38, 721,543.12 and 296,502.88

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Solution

The fourth proportional to 522,857.38, 721,543.12 and 296,502.88 is: 409,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,857.38 : 721,543.12 = 296,502.88 : x
  2. Step 2: Convert to fraction form
    522,857.38/721,543.12 = 296,502.88/x
  3. Step 3: Cross multiply
    522,857.38x = 721,543.12 × 296,502.88
  4. Step 4: Simplify right side
    522,857.38x = 213,939,613,124.19
  5. Step 5: Solve for x
    x = 213,939,613,124.19/522,857.38
  6. Step 6: Final answer
    x = 409,173.94

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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.