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Finding the Fourth Proportional to 491,748.40, 737,856.60 and 176,237.20

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Solution

The fourth proportional to 491,748.40, 737,856.60 and 176,237.20 is: 264,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,748.40 : 737,856.60 = 176,237.20 : x
  2. Step 2: Convert to fraction form
    491,748.40/737,856.60 = 176,237.20/x
  3. Step 3: Cross multiply
    491,748.40x = 737,856.60 × 176,237.20
  4. Step 4: Simplify right side
    491,748.40x = 130,037,781,185.52
  5. Step 5: Solve for x
    x = 130,037,781,185.52/491,748.40
  6. Step 6: Final answer
    x = 264,439.66

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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.