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Finding the Fourth Proportional to 488,270.70, 732,406.05 and 409,538.70

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Solution

The fourth proportional to 488,270.70, 732,406.05 and 409,538.70 is: 614,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,270.70 : 732,406.05 = 409,538.70 : x
  2. Step 2: Convert to fraction form
    488,270.70/732,406.05 = 409,538.70/x
  3. Step 3: Cross multiply
    488,270.70x = 732,406.05 × 409,538.70
  4. Step 4: Simplify right side
    488,270.70x = 299,948,621,589.14
  5. Step 5: Solve for x
    x = 299,948,621,589.14/488,270.70
  6. Step 6: Final answer
    x = 614,308.05

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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.