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Finding the Fourth Proportional to 472,945.80, 709,398.84 and 220,139.40

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Solution

The fourth proportional to 472,945.80, 709,398.84 and 220,139.40 is: 330,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,945.80 : 709,398.84 = 220,139.40 : x
  2. Step 2: Convert to fraction form
    472,945.80/709,398.84 = 220,139.40/x
  3. Step 3: Cross multiply
    472,945.80x = 709,398.84 × 220,139.40
  4. Step 4: Simplify right side
    472,945.80x = 156,166,634,998.30
  5. Step 5: Solve for x
    x = 156,166,634,998.30/472,945.80
  6. Step 6: Final answer
    x = 330,199.86

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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.