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Finding the Fourth Proportional to 582,385.92, 803,559.24 and 327,644.16

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Solution

The fourth proportional to 582,385.92, 803,559.24 and 327,644.16 is: 452,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,385.92 : 803,559.24 = 327,644.16 : x
  2. Step 2: Convert to fraction form
    582,385.92/803,559.24 = 327,644.16/x
  3. Step 3: Cross multiply
    582,385.92x = 803,559.24 × 327,644.16
  4. Step 4: Simplify right side
    582,385.92x = 263,281,492,200.04
  5. Step 5: Solve for x
    x = 263,281,492,200.04/582,385.92
  6. Step 6: Final answer
    x = 452,073.93

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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.