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Finding the Fourth Proportional to 415,022.64, 572,746.52 and 231,277.72

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Solution

The fourth proportional to 415,022.64, 572,746.52 and 231,277.72 is: 319,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,022.64 : 572,746.52 = 231,277.72 : x
  2. Step 2: Convert to fraction form
    415,022.64/572,746.52 = 231,277.72/x
  3. Step 3: Cross multiply
    415,022.64x = 572,746.52 × 231,277.72
  4. Step 4: Simplify right side
    415,022.64x = 132,463,509,283.53
  5. Step 5: Solve for x
    x = 132,463,509,283.53/415,022.64
  6. Step 6: Final answer
    x = 319,171.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.