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Finding the Fourth Proportional to 471,006.80, 706,620.45 and 155,463.40

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Solution

The fourth proportional to 471,006.80, 706,620.45 and 155,463.40 is: 233,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,006.80 : 706,620.45 = 155,463.40 : x
  2. Step 2: Convert to fraction form
    471,006.80/706,620.45 = 155,463.40/x
  3. Step 3: Cross multiply
    471,006.80x = 706,620.45 × 155,463.40
  4. Step 4: Simplify right side
    471,006.80x = 109,853,617,666.53
  5. Step 5: Solve for x
    x = 109,853,617,666.53/471,006.80
  6. Step 6: Final answer
    x = 233,231.49

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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.