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Finding the Fourth Proportional to 488,543.60, 732,815.40 and 409,811.60

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Solution

The fourth proportional to 488,543.60, 732,815.40 and 409,811.60 is: 614,717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,543.60 : 732,815.40 = 409,811.60 : x
  2. Step 2: Convert to fraction form
    488,543.60/732,815.40 = 409,811.60/x
  3. Step 3: Cross multiply
    488,543.60x = 732,815.40 × 409,811.60
  4. Step 4: Simplify right side
    488,543.60x = 300,316,251,578.64
  5. Step 5: Solve for x
    x = 300,316,251,578.64/488,543.60
  6. Step 6: Final answer
    x = 614,717.40

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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.