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Finding the Fourth Proportional to 316,643, 474,965.45 and 76,755.95

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Solution

The fourth proportional to 316,643, 474,965.45 and 76,755.95 is: 115,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,643 : 474,965.45 = 76,755.95 : x
  2. Step 2: Convert to fraction form
    316,643/474,965.45 = 76,755.95/x
  3. Step 3: Cross multiply
    316,643x = 474,965.45 × 76,755.95
  4. Step 4: Simplify right side
    316,643x = 36,456,424,331.93
  5. Step 5: Solve for x
    x = 36,456,424,331.93/316,643
  6. Step 6: Final answer
    x = 115,134.16

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