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Finding the Fourth Proportional to 589,624.86, 813,685.11 and 334,990.02

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Solution

The fourth proportional to 589,624.86, 813,685.11 and 334,990.02 is: 462,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,624.86 : 813,685.11 = 334,990.02 : x
  2. Step 2: Convert to fraction form
    589,624.86/813,685.11 = 334,990.02/x
  3. Step 3: Cross multiply
    589,624.86x = 813,685.11 × 334,990.02
  4. Step 4: Simplify right side
    589,624.86x = 272,576,391,272.60
  5. Step 5: Solve for x
    x = 272,576,391,272.60/589,624.86
  6. Step 6: Final answer
    x = 462,287.82

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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.