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Finding the Fourth Proportional to 433,206.45, 649,853.10 and 148,859.55

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Solution

The fourth proportional to 433,206.45, 649,853.10 and 148,859.55 is: 223,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,206.45 : 649,853.10 = 148,859.55 : x
  2. Step 2: Convert to fraction form
    433,206.45/649,853.10 = 148,859.55/x
  3. Step 3: Cross multiply
    433,206.45x = 649,853.10 × 148,859.55
  4. Step 4: Simplify right side
    433,206.45x = 96,736,840,032.11
  5. Step 5: Solve for x
    x = 96,736,840,032.11/433,206.45
  6. Step 6: Final answer
    x = 223,304.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.