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Finding the Fourth Proportional to 314,607.48, 471,724.55 and 124,965.87

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Solution

The fourth proportional to 314,607.48, 471,724.55 and 124,965.87 is: 187,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,607.48 : 471,724.55 = 124,965.87 : x
  2. Step 2: Convert to fraction form
    314,607.48/471,724.55 = 124,965.87/x
  3. Step 3: Cross multiply
    314,607.48x = 471,724.55 × 124,965.87
  4. Step 4: Simplify right side
    314,607.48x = 58,949,468,791.11
  5. Step 5: Solve for x
    x = 58,949,468,791.11/314,607.48
  6. Step 6: Final answer
    x = 187,374.66

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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.