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Finding the Fourth Proportional to 546,697.74, 820,017.45 and 147,332.10

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Solution

The fourth proportional to 546,697.74, 820,017.45 and 147,332.10 is: 220,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,697.74 : 820,017.45 = 147,332.10 : x
  2. Step 2: Convert to fraction form
    546,697.74/820,017.45 = 147,332.10/x
  3. Step 3: Cross multiply
    546,697.74x = 820,017.45 × 147,332.10
  4. Step 4: Simplify right side
    546,697.74x = 120,814,892,945.15
  5. Step 5: Solve for x
    x = 120,814,892,945.15/546,697.74
  6. Step 6: Final answer
    x = 220,990.29

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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.