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Finding the Fourth Proportional to 488,570.20, 732,855.30 and 409,838.20

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Solution

The fourth proportional to 488,570.20, 732,855.30 and 409,838.20 is: 614,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,570.20 : 732,855.30 = 409,838.20 : x
  2. Step 2: Convert to fraction form
    488,570.20/732,855.30 = 409,838.20/x
  3. Step 3: Cross multiply
    488,570.20x = 732,855.30 × 409,838.20
  4. Step 4: Simplify right side
    488,570.20x = 300,352,097,012.46
  5. Step 5: Solve for x
    x = 300,352,097,012.46/488,570.20
  6. Step 6: Final answer
    x = 614,757.30

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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.