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Finding the Fourth Proportional to 442,851.40, 664,277.10 and 162,332.20

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Solution

The fourth proportional to 442,851.40, 664,277.10 and 162,332.20 is: 243,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,851.40 : 664,277.10 = 162,332.20 : x
  2. Step 2: Convert to fraction form
    442,851.40/664,277.10 = 162,332.20/x
  3. Step 3: Cross multiply
    442,851.40x = 664,277.10 × 162,332.20
  4. Step 4: Simplify right side
    442,851.40x = 107,833,563,052.62
  5. Step 5: Solve for x
    x = 107,833,563,052.62/442,851.40
  6. Step 6: Final answer
    x = 243,498.30

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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.