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Finding the Fourth Proportional to 276,710.57, 415,024.53 and 77,010.14

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Solution

The fourth proportional to 276,710.57, 415,024.53 and 77,010.14 is: 115,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,710.57 : 415,024.53 = 77,010.14 : x
  2. Step 2: Convert to fraction form
    276,710.57/415,024.53 = 77,010.14/x
  3. Step 3: Cross multiply
    276,710.57x = 415,024.53 × 77,010.14
  4. Step 4: Simplify right side
    276,710.57x = 31,961,095,083.61
  5. Step 5: Solve for x
    x = 31,961,095,083.61/276,710.57
  6. Step 6: Final answer
    x = 115,503.70

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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.