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Finding the Fourth Proportional to 546,069.52, 819,048.88 and 146,658.40

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Solution

The fourth proportional to 546,069.52, 819,048.88 and 146,658.40 is: 219,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,069.52 : 819,048.88 = 146,658.40 : x
  2. Step 2: Convert to fraction form
    546,069.52/819,048.88 = 146,658.40/x
  3. Step 3: Cross multiply
    546,069.52x = 819,048.88 × 146,658.40
  4. Step 4: Simplify right side
    546,069.52x = 120,120,398,262.59
  5. Step 5: Solve for x
    x = 120,120,398,262.59/546,069.52
  6. Step 6: Final answer
    x = 219,972.72

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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.