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Finding the Fourth Proportional to 586,543.53, 809,447.13 and 331,889.25

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Solution

The fourth proportional to 586,543.53, 809,447.13 and 331,889.25 is: 458,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,543.53 : 809,447.13 = 331,889.25 : x
  2. Step 2: Convert to fraction form
    586,543.53/809,447.13 = 331,889.25/x
  3. Step 3: Cross multiply
    586,543.53x = 809,447.13 × 331,889.25
  4. Step 4: Simplify right side
    586,543.53x = 268,646,800,890.35
  5. Step 5: Solve for x
    x = 268,646,800,890.35/586,543.53
  6. Step 6: Final answer
    x = 458,016.82

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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.