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Finding the Fourth Proportional to 432,898.75, 649,357.85 and 148,588.75

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Solution

The fourth proportional to 432,898.75, 649,357.85 and 148,588.75 is: 222,886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,898.75 : 649,357.85 = 148,588.75 : x
  2. Step 2: Convert to fraction form
    432,898.75/649,357.85 = 148,588.75/x
  3. Step 3: Cross multiply
    432,898.75x = 649,357.85 × 148,588.75
  4. Step 4: Simplify right side
    432,898.75x = 96,487,271,234.19
  5. Step 5: Solve for x
    x = 96,487,271,234.19/432,898.75
  6. Step 6: Final answer
    x = 222,886.46

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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.