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Finding the Fourth Proportional to 614,117.10, 921,175.65 and 509,141.10

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Solution

The fourth proportional to 614,117.10, 921,175.65 and 509,141.10 is: 763,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,117.10 : 921,175.65 = 509,141.10 : x
  2. Step 2: Convert to fraction form
    614,117.10/921,175.65 = 509,141.10/x
  3. Step 3: Cross multiply
    614,117.10x = 921,175.65 × 509,141.10
  4. Step 4: Simplify right side
    614,117.10x = 469,008,383,734.22
  5. Step 5: Solve for x
    x = 469,008,383,734.22/614,117.10
  6. Step 6: Final answer
    x = 763,711.65

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