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Finding the Fourth Proportional to 409,894.20, 614,841.30 and 241,932.60

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Solution

The fourth proportional to 409,894.20, 614,841.30 and 241,932.60 is: 362,898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,894.20 : 614,841.30 = 241,932.60 : x
  2. Step 2: Convert to fraction form
    409,894.20/614,841.30 = 241,932.60/x
  3. Step 3: Cross multiply
    409,894.20x = 614,841.30 × 241,932.60
  4. Step 4: Simplify right side
    409,894.20x = 148,750,154,296.38
  5. Step 5: Solve for x
    x = 148,750,154,296.38/409,894.20
  6. Step 6: Final answer
    x = 362,898.90

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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.