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Finding the Fourth Proportional to 589,582.31, 813,626.30 and 334,947.47

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Solution

The fourth proportional to 589,582.31, 813,626.30 and 334,947.47 is: 462,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,582.31 : 813,626.30 = 334,947.47 : x
  2. Step 2: Convert to fraction form
    589,582.31/813,626.30 = 334,947.47/x
  3. Step 3: Cross multiply
    589,582.31x = 813,626.30 × 334,947.47
  4. Step 4: Simplify right side
    589,582.31x = 272,522,067,479.70
  5. Step 5: Solve for x
    x = 272,522,067,479.70/589,582.31
  6. Step 6: Final answer
    x = 462,229.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.