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Finding the Fourth Proportional to 464,083.95, 696,126.52 and 127,127.57

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Solution

The fourth proportional to 464,083.95, 696,126.52 and 127,127.57 is: 190,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,083.95 : 696,126.52 = 127,127.57 : x
  2. Step 2: Convert to fraction form
    464,083.95/696,126.52 = 127,127.57/x
  3. Step 3: Cross multiply
    464,083.95x = 696,126.52 × 127,127.57
  4. Step 4: Simplify right side
    464,083.95x = 88,496,869,578.43
  5. Step 5: Solve for x
    x = 88,496,869,578.43/464,083.95
  6. Step 6: Final answer
    x = 190,691.51

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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.