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Finding the Fourth Proportional to 523,061.88, 721,804.14 and 296,702.52

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Solution

The fourth proportional to 523,061.88, 721,804.14 and 296,702.52 is: 409,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,061.88 : 721,804.14 = 296,702.52 : x
  2. Step 2: Convert to fraction form
    523,061.88/721,804.14 = 296,702.52/x
  3. Step 3: Cross multiply
    523,061.88x = 721,804.14 × 296,702.52
  4. Step 4: Simplify right side
    523,061.88x = 214,161,107,284.43
  5. Step 5: Solve for x
    x = 214,161,107,284.43/523,061.88
  6. Step 6: Final answer
    x = 409,437.42

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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.