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Finding the Fourth Proportional to 667,095.92, 920,585.56 and 361,164.20

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Solution

The fourth proportional to 667,095.92, 920,585.56 and 361,164.20 is: 498,402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,095.92 : 920,585.56 = 361,164.20 : x
  2. Step 2: Convert to fraction form
    667,095.92/920,585.56 = 361,164.20/x
  3. Step 3: Cross multiply
    667,095.92x = 920,585.56 × 361,164.20
  4. Step 4: Simplify right side
    667,095.92x = 332,482,547,308.95
  5. Step 5: Solve for x
    x = 332,482,547,308.95/667,095.92
  6. Step 6: Final answer
    x = 498,402.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.