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Finding the Fourth Proportional to 589,685.28, 813,765.92 and 335,036.80

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Solution

The fourth proportional to 589,685.28, 813,765.92 and 335,036.80 is: 462,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,685.28 : 813,765.92 = 335,036.80 : x
  2. Step 2: Convert to fraction form
    589,685.28/813,765.92 = 335,036.80/x
  3. Step 3: Cross multiply
    589,685.28x = 813,765.92 × 335,036.80
  4. Step 4: Simplify right side
    589,685.28x = 272,641,529,785.86
  5. Step 5: Solve for x
    x = 272,641,529,785.86/589,685.28
  6. Step 6: Final answer
    x = 462,350.92

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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.