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Finding the Fourth Proportional to 417,502.61, 576,153.64 and 226,516.02

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Solution

The fourth proportional to 417,502.61, 576,153.64 and 226,516.02 is: 312,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,502.61 : 576,153.64 = 226,516.02 : x
  2. Step 2: Convert to fraction form
    417,502.61/576,153.64 = 226,516.02/x
  3. Step 3: Cross multiply
    417,502.61x = 576,153.64 × 226,516.02
  4. Step 4: Simplify right side
    417,502.61x = 130,508,026,560.55
  5. Step 5: Solve for x
    x = 130,508,026,560.55/417,502.61
  6. Step 6: Final answer
    x = 312,592.12

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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.