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Finding the Fourth Proportional to 357,702.34, 537,008.76 and 231,869.08

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Solution

The fourth proportional to 357,702.34, 537,008.76 and 231,869.08 is: 348,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,702.34 : 537,008.76 = 231,869.08 : x
  2. Step 2: Convert to fraction form
    357,702.34/537,008.76 = 231,869.08/x
  3. Step 3: Cross multiply
    357,702.34x = 537,008.76 × 231,869.08
  4. Step 4: Simplify right side
    357,702.34x = 124,515,727,133.14
  5. Step 5: Solve for x
    x = 124,515,727,133.14/357,702.34
  6. Step 6: Final answer
    x = 348,098.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.