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Finding the Fourth Proportional to 865,101.84, 1,193,874.69 and 497,578.39

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Solution

The fourth proportional to 865,101.84, 1,193,874.69 and 497,578.39 is: 686,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,101.84 : 1,193,874.69 = 497,578.39 : x
  2. Step 2: Convert to fraction form
    865,101.84/1,193,874.69 = 497,578.39/x
  3. Step 3: Cross multiply
    865,101.84x = 1,193,874.69 × 497,578.39
  4. Step 4: Simplify right side
    865,101.84x = 594,046,243,499.86
  5. Step 5: Solve for x
    x = 594,046,243,499.86/865,101.84
  6. Step 6: Final answer
    x = 686,677.82

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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.