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Finding the Fourth Proportional to 415,187.71, 572,960.79 and 233,901.81

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Solution

The fourth proportional to 415,187.71, 572,960.79 and 233,901.81 is: 322,785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,187.71 : 572,960.79 = 233,901.81 : x
  2. Step 2: Convert to fraction form
    415,187.71/572,960.79 = 233,901.81/x
  3. Step 3: Cross multiply
    415,187.71x = 572,960.79 × 233,901.81
  4. Step 4: Simplify right side
    415,187.71x = 134,016,564,670.52
  5. Step 5: Solve for x
    x = 134,016,564,670.52/415,187.71
  6. Step 6: Final answer
    x = 322,785.48

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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.