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Finding the Fourth Proportional to 314,617.87, 471,913.11 and 101,381.02

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Solution

The fourth proportional to 314,617.87, 471,913.11 and 101,381.02 is: 152,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,617.87 : 471,913.11 = 101,381.02 : x
  2. Step 2: Convert to fraction form
    314,617.87/471,913.11 = 101,381.02/x
  3. Step 3: Cross multiply
    314,617.87x = 471,913.11 × 101,381.02
  4. Step 4: Simplify right side
    314,617.87x = 47,843,032,443.17
  5. Step 5: Solve for x
    x = 47,843,032,443.17/314,617.87
  6. Step 6: Final answer
    x = 152,067.12

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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.