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Finding the Fourth Proportional to 361,680.30, 542,002.05 and 266,165.10

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Solution

The fourth proportional to 361,680.30, 542,002.05 and 266,165.10 is: 398,866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,680.30 : 542,002.05 = 266,165.10 : x
  2. Step 2: Convert to fraction form
    361,680.30/542,002.05 = 266,165.10/x
  3. Step 3: Cross multiply
    361,680.30x = 542,002.05 × 266,165.10
  4. Step 4: Simplify right side
    361,680.30x = 144,262,029,838.46
  5. Step 5: Solve for x
    x = 144,262,029,838.46/361,680.30
  6. Step 6: Final answer
    x = 398,866.15

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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.