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Finding the Fourth Proportional to 314,742.50, 472,253.31 and 164,947.22

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Solution

The fourth proportional to 314,742.50, 472,253.31 and 164,947.22 is: 247,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,742.50 : 472,253.31 = 164,947.22 : x
  2. Step 2: Convert to fraction form
    314,742.50/472,253.31 = 164,947.22/x
  3. Step 3: Cross multiply
    314,742.50x = 472,253.31 × 164,947.22
  4. Step 4: Simplify right side
    314,742.50x = 77,896,868,259.03
  5. Step 5: Solve for x
    x = 77,896,868,259.03/314,742.50
  6. Step 6: Final answer
    x = 247,493.97

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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.