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Finding the Fourth Proportional to 442,829.60, 664,244.40 and 413,086.40

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Solution

The fourth proportional to 442,829.60, 664,244.40 and 413,086.40 is: 619,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,829.60 : 664,244.40 = 413,086.40 : x
  2. Step 2: Convert to fraction form
    442,829.60/664,244.40 = 413,086.40/x
  3. Step 3: Cross multiply
    442,829.60x = 664,244.40 × 413,086.40
  4. Step 4: Simplify right side
    442,829.60x = 274,390,327,916.16
  5. Step 5: Solve for x
    x = 274,390,327,916.16/442,829.60
  6. Step 6: Final answer
    x = 619,629.60

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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.