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Finding the Fourth Proportional to 488,588.60, 732,882.90 and 409,856.60

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Solution

The fourth proportional to 488,588.60, 732,882.90 and 409,856.60 is: 614,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,588.60 : 732,882.90 = 409,856.60 : x
  2. Step 2: Convert to fraction form
    488,588.60/732,882.90 = 409,856.60/x
  3. Step 3: Cross multiply
    488,588.60x = 732,882.90 × 409,856.60
  4. Step 4: Simplify right side
    488,588.60x = 300,376,893,592.14
  5. Step 5: Solve for x
    x = 300,376,893,592.14/488,588.60
  6. Step 6: Final answer
    x = 614,784.90

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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.