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Finding the Fourth Proportional to 546,882.70, 819,740.85 and 209,793.10

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Solution

The fourth proportional to 546,882.70, 819,740.85 and 209,793.10 is: 314,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,882.70 : 819,740.85 = 209,793.10 : x
  2. Step 2: Convert to fraction form
    546,882.70/819,740.85 = 209,793.10/x
  3. Step 3: Cross multiply
    546,882.70x = 819,740.85 × 209,793.10
  4. Step 4: Simplify right side
    546,882.70x = 171,975,974,118.14
  5. Step 5: Solve for x
    x = 171,975,974,118.14/546,882.70
  6. Step 6: Final answer
    x = 314,465.92

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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.