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Finding the Fourth Proportional to 582,447.92, 803,645.16 and 327,706.16

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Solution

The fourth proportional to 582,447.92, 803,645.16 and 327,706.16 is: 452,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,447.92 : 803,645.16 = 327,706.16 : x
  2. Step 2: Convert to fraction form
    582,447.92/803,645.16 = 327,706.16/x
  3. Step 3: Cross multiply
    582,447.92x = 803,645.16 × 327,706.16
  4. Step 4: Simplify right side
    582,447.92x = 263,359,469,386.19
  5. Step 5: Solve for x
    x = 263,359,469,386.19/582,447.92
  6. Step 6: Final answer
    x = 452,159.69

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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.