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Finding the Fourth Proportional to 484,658.10, 727,102.35 and 204,030.90

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Solution

The fourth proportional to 484,658.10, 727,102.35 and 204,030.90 is: 306,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,658.10 : 727,102.35 = 204,030.90 : x
  2. Step 2: Convert to fraction form
    484,658.10/727,102.35 = 204,030.90/x
  3. Step 3: Cross multiply
    484,658.10x = 727,102.35 × 204,030.90
  4. Step 4: Simplify right side
    484,658.10x = 148,351,346,862.62
  5. Step 5: Solve for x
    x = 148,351,346,862.62/484,658.10
  6. Step 6: Final answer
    x = 306,094.85

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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.