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Finding the Fourth Proportional to 709,098.17, 978,562.49 and 386,814.96

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Solution

The fourth proportional to 709,098.17, 978,562.49 and 386,814.96 is: 533,808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,098.17 : 978,562.49 = 386,814.96 : x
  2. Step 2: Convert to fraction form
    709,098.17/978,562.49 = 386,814.96/x
  3. Step 3: Cross multiply
    709,098.17x = 978,562.49 × 386,814.96
  4. Step 4: Simplify right side
    709,098.17x = 378,522,608,492.78
  5. Step 5: Solve for x
    x = 378,522,608,492.78/709,098.17
  6. Step 6: Final answer
    x = 533,808.47

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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.