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Finding the Fourth Proportional to 589,332.60, 813,346.44 and 327,714.04

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Solution

The fourth proportional to 589,332.60, 813,346.44 and 327,714.04 is: 452,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,332.60 : 813,346.44 = 327,714.04 : x
  2. Step 2: Convert to fraction form
    589,332.60/813,346.44 = 327,714.04/x
  3. Step 3: Cross multiply
    589,332.60x = 813,346.44 × 327,714.04
  4. Step 4: Simplify right side
    589,332.60x = 266,545,047,772.02
  5. Step 5: Solve for x
    x = 266,545,047,772.02/589,332.60
  6. Step 6: Final answer
    x = 452,282.88

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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.