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Finding the Fourth Proportional to 442,851.60, 664,277.40 and 413,108.40

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Solution

The fourth proportional to 442,851.60, 664,277.40 and 413,108.40 is: 619,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,851.60 : 664,277.40 = 413,108.40 : x
  2. Step 2: Convert to fraction form
    442,851.60/664,277.40 = 413,108.40/x
  3. Step 3: Cross multiply
    442,851.60x = 664,277.40 × 413,108.40
  4. Step 4: Simplify right side
    442,851.60x = 274,418,573,870.16
  5. Step 5: Solve for x
    x = 274,418,573,870.16/442,851.60
  6. Step 6: Final answer
    x = 619,662.60

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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.