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Finding the Fourth Proportional to 582,405.10, 803,752.12 and 349,903.15

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Solution

The fourth proportional to 582,405.10, 803,752.12 and 349,903.15 is: 482,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,405.10 : 803,752.12 = 349,903.15 : x
  2. Step 2: Convert to fraction form
    582,405.10/803,752.12 = 349,903.15/x
  3. Step 3: Cross multiply
    582,405.10x = 803,752.12 × 349,903.15
  4. Step 4: Simplify right side
    582,405.10x = 281,235,396,857.66
  5. Step 5: Solve for x
    x = 281,235,396,857.66/582,405.10
  6. Step 6: Final answer
    x = 482,886.22

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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.