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Finding the Fourth Proportional to 484,658.60, 727,103.10 and 204,031.40

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Solution

The fourth proportional to 484,658.60, 727,103.10 and 204,031.40 is: 306,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,658.60 : 727,103.10 = 204,031.40 : x
  2. Step 2: Convert to fraction form
    484,658.60/727,103.10 = 204,031.40/x
  3. Step 3: Cross multiply
    484,658.60x = 727,103.10 × 204,031.40
  4. Step 4: Simplify right side
    484,658.60x = 148,351,863,437.34
  5. Step 5: Solve for x
    x = 148,351,863,437.34/484,658.60
  6. Step 6: Final answer
    x = 306,095.60

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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.