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Finding the Fourth Proportional to 589,379.84, 813,411.58 and 327,761.24

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Solution

The fourth proportional to 589,379.84, 813,411.58 and 327,761.24 is: 452,347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,379.84 : 813,411.58 = 327,761.24 : x
  2. Step 2: Convert to fraction form
    589,379.84/813,411.58 = 327,761.24/x
  3. Step 3: Cross multiply
    589,379.84x = 813,411.58 × 327,761.24
  4. Step 4: Simplify right side
    589,379.84x = 266,604,788,091.16
  5. Step 5: Solve for x
    x = 266,604,788,091.16/589,379.84
  6. Step 6: Final answer
    x = 452,347.99

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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.