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Finding the Fourth Proportional to 432,895.50, 649,352.97 and 148,585.50

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Solution

The fourth proportional to 432,895.50, 649,352.97 and 148,585.50 is: 222,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,895.50 : 649,352.97 = 148,585.50 : x
  2. Step 2: Convert to fraction form
    432,895.50/649,352.97 = 148,585.50/x
  3. Step 3: Cross multiply
    432,895.50x = 649,352.97 × 148,585.50
  4. Step 4: Simplify right side
    432,895.50x = 96,484,435,723.94
  5. Step 5: Solve for x
    x = 96,484,435,723.94/432,895.50
  6. Step 6: Final answer
    x = 222,881.59

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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.