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Finding the Fourth Proportional to 537,917, 806,981.98 and 153,669.17

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Solution

The fourth proportional to 537,917, 806,981.98 and 153,669.17 is: 230,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,917 : 806,981.98 = 153,669.17 : x
  2. Step 2: Convert to fraction form
    537,917/806,981.98 = 153,669.17/x
  3. Step 3: Cross multiply
    537,917x = 806,981.98 × 153,669.17
  4. Step 4: Simplify right side
    537,917x = 124,008,250,687.38
  5. Step 5: Solve for x
    x = 124,008,250,687.38/537,917
  6. Step 6: Final answer
    x = 230,534.17

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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.