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Finding the Fourth Proportional to 314,592.19, 471,949.96 and 125,017.22

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Solution

The fourth proportional to 314,592.19, 471,949.96 and 125,017.22 is: 187,550.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,592.19 : 471,949.96 = 125,017.22 : x
  2. Step 2: Convert to fraction form
    314,592.19/471,949.96 = 125,017.22/x
  3. Step 3: Cross multiply
    314,592.19x = 471,949.96 × 125,017.22
  4. Step 4: Simplify right side
    314,592.19x = 59,001,870,425.33
  5. Step 5: Solve for x
    x = 59,001,870,425.33/314,592.19
  6. Step 6: Final answer
    x = 187,550.34

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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.