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Finding the Fourth Proportional to 613,133.38, 847,083.97 and 468,445.65

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Solution

The fourth proportional to 613,133.38, 847,083.97 and 468,445.65 is: 647,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,133.38 : 847,083.97 = 468,445.65 : x
  2. Step 2: Convert to fraction form
    613,133.38/847,083.97 = 468,445.65/x
  3. Step 3: Cross multiply
    613,133.38x = 847,083.97 × 468,445.65
  4. Step 4: Simplify right side
    613,133.38x = 396,812,800,931.23
  5. Step 5: Solve for x
    x = 396,812,800,931.23/613,133.38
  6. Step 6: Final answer
    x = 647,188.38

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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.