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Finding the Fourth Proportional to 472,763.01, 709,150.79 and 148,540.58

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Solution

The fourth proportional to 472,763.01, 709,150.79 and 148,540.58 is: 222,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,763.01 : 709,150.79 = 148,540.58 : x
  2. Step 2: Convert to fraction form
    472,763.01/709,150.79 = 148,540.58/x
  3. Step 3: Cross multiply
    472,763.01x = 709,150.79 × 148,540.58
  4. Step 4: Simplify right side
    472,763.01x = 105,337,669,654.06
  5. Step 5: Solve for x
    x = 105,337,669,654.06/472,763.01
  6. Step 6: Final answer
    x = 222,812.84

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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.