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Finding the Fourth Proportional to 433,014.62, 649,355.87 and 148,652.17

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Solution

The fourth proportional to 433,014.62, 649,355.87 and 148,652.17 is: 222,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,014.62 : 649,355.87 = 148,652.17 : x
  2. Step 2: Convert to fraction form
    433,014.62/649,355.87 = 148,652.17/x
  3. Step 3: Cross multiply
    433,014.62x = 649,355.87 × 148,652.17
  4. Step 4: Simplify right side
    433,014.62x = 96,528,157,925.98
  5. Step 5: Solve for x
    x = 96,528,157,925.98/433,014.62
  6. Step 6: Final answer
    x = 222,921.25

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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.