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Finding the Fourth Proportional to 334,062.80, 501,209.40 and 147,208.40

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Solution

The fourth proportional to 334,062.80, 501,209.40 and 147,208.40 is: 220,863.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,062.80 : 501,209.40 = 147,208.40 : x
  2. Step 2: Convert to fraction form
    334,062.80/501,209.40 = 147,208.40/x
  3. Step 3: Cross multiply
    334,062.80x = 501,209.40 × 147,208.40
  4. Step 4: Simplify right side
    334,062.80x = 73,782,233,838.96
  5. Step 5: Solve for x
    x = 73,782,233,838.96/334,062.80
  6. Step 6: Final answer
    x = 220,863.36

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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.