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Finding the Fourth Proportional to 532,414.06, 796,195.40 and 397,572.82

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Solution

The fourth proportional to 532,414.06, 796,195.40 and 397,572.82 is: 594,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,414.06 : 796,195.40 = 397,572.82 : x
  2. Step 2: Convert to fraction form
    532,414.06/796,195.40 = 397,572.82/x
  3. Step 3: Cross multiply
    532,414.06x = 796,195.40 × 397,572.82
  4. Step 4: Simplify right side
    532,414.06x = 316,545,650,449.03
  5. Step 5: Solve for x
    x = 316,545,650,449.03/532,414.06
  6. Step 6: Final answer
    x = 594,547.88

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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.