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Finding the Fourth Proportional to 463,102.86, 694,641.33 and 147,578.70

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Solution

The fourth proportional to 463,102.86, 694,641.33 and 147,578.70 is: 221,363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,102.86 : 694,641.33 = 147,578.70 : x
  2. Step 2: Convert to fraction form
    463,102.86/694,641.33 = 147,578.70/x
  3. Step 3: Cross multiply
    463,102.86x = 694,641.33 × 147,578.70
  4. Step 4: Simplify right side
    463,102.86x = 102,514,264,447.67
  5. Step 5: Solve for x
    x = 102,514,264,447.67/463,102.86
  6. Step 6: Final answer
    x = 221,363.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.