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Finding the Fourth Proportional to 488,546.10, 732,819.15 and 409,814.10

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Solution

The fourth proportional to 488,546.10, 732,819.15 and 409,814.10 is: 614,721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,546.10 : 732,819.15 = 409,814.10 : x
  2. Step 2: Convert to fraction form
    488,546.10/732,819.15 = 409,814.10/x
  3. Step 3: Cross multiply
    488,546.10x = 732,819.15 × 409,814.10
  4. Step 4: Simplify right side
    488,546.10x = 300,319,620,420.02
  5. Step 5: Solve for x
    x = 300,319,620,420.02/488,546.10
  6. Step 6: Final answer
    x = 614,721.15

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Similar ratio
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1.5x scale

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.