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Finding the Fourth Proportional to 582,178.08, 803,405.63 and 324,049.46

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Solution

The fourth proportional to 582,178.08, 803,405.63 and 324,049.46 is: 447,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,178.08 : 803,405.63 = 324,049.46 : x
  2. Step 2: Convert to fraction form
    582,178.08/803,405.63 = 324,049.46/x
  3. Step 3: Cross multiply
    582,178.08x = 803,405.63 × 324,049.46
  4. Step 4: Simplify right side
    582,178.08x = 260,343,160,562.46
  5. Step 5: Solve for x
    x = 260,343,160,562.46/582,178.08
  6. Step 6: Final answer
    x = 447,188.19

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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.