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Finding the Fourth Proportional to 407,657.60, 611,486.40 and 283,241.60

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Solution

The fourth proportional to 407,657.60, 611,486.40 and 283,241.60 is: 424,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,657.60 : 611,486.40 = 283,241.60 : x
  2. Step 2: Convert to fraction form
    407,657.60/611,486.40 = 283,241.60/x
  3. Step 3: Cross multiply
    407,657.60x = 611,486.40 × 283,241.60
  4. Step 4: Simplify right side
    407,657.60x = 173,198,386,314.24
  5. Step 5: Solve for x
    x = 173,198,386,314.24/407,657.60
  6. Step 6: Final answer
    x = 424,862.40

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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.