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Finding the Fourth Proportional to 432,982.48, 649,411.80 and 148,667.71

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Solution

The fourth proportional to 432,982.48, 649,411.80 and 148,667.71 is: 222,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,982.48 : 649,411.80 = 148,667.71 : x
  2. Step 2: Convert to fraction form
    432,982.48/649,411.80 = 148,667.71/x
  3. Step 3: Cross multiply
    432,982.48x = 649,411.80 × 148,667.71
  4. Step 4: Simplify right side
    432,982.48x = 96,546,565,152.98
  5. Step 5: Solve for x
    x = 96,546,565,152.98/432,982.48
  6. Step 6: Final answer
    x = 222,980.30

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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.