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Finding the Fourth Proportional to 1,328,834.71, 1,833,154.11 and 869,747.17

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Solution

The fourth proportional to 1,328,834.71, 1,833,154.11 and 869,747.17 is: 1,199,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,834.71 : 1,833,154.11 = 869,747.17 : x
  2. Step 2: Convert to fraction form
    1,328,834.71/1,833,154.11 = 869,747.17/x
  3. Step 3: Cross multiply
    1,328,834.71x = 1,833,154.11 × 869,747.17
  4. Step 4: Simplify right side
    1,328,834.71x = 1,594,380,599,346.37
  5. Step 5: Solve for x
    x = 1,594,380,599,346.37/1,328,834.71
  6. Step 6: Final answer
    x = 1,199,833.65

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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.