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Finding the Fourth Proportional to 470,565.20, 705,847.80 and 133,605.20

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Solution

The fourth proportional to 470,565.20, 705,847.80 and 133,605.20 is: 200,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,565.20 : 705,847.80 = 133,605.20 : x
  2. Step 2: Convert to fraction form
    470,565.20/705,847.80 = 133,605.20/x
  3. Step 3: Cross multiply
    470,565.20x = 705,847.80 × 133,605.20
  4. Step 4: Simplify right side
    470,565.20x = 94,304,936,488.56
  5. Step 5: Solve for x
    x = 94,304,936,488.56/470,565.20
  6. Step 6: Final answer
    x = 200,407.80

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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.