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Finding the Fourth Proportional to 491,856.30, 737,784.45 and 176,345.10

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Solution

The fourth proportional to 491,856.30, 737,784.45 and 176,345.10 is: 264,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,856.30 : 737,784.45 = 176,345.10 : x
  2. Step 2: Convert to fraction form
    491,856.30/737,784.45 = 176,345.10/x
  3. Step 3: Cross multiply
    491,856.30x = 737,784.45 × 176,345.10
  4. Step 4: Simplify right side
    491,856.30x = 130,104,672,613.70
  5. Step 5: Solve for x
    x = 130,104,672,613.70/491,856.30
  6. Step 6: Final answer
    x = 264,517.65

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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.