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Finding the Fourth Proportional to 432,872.60, 649,308.90 and 273,440.30

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Solution

The fourth proportional to 432,872.60, 649,308.90 and 273,440.30 is: 410,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,872.60 : 649,308.90 = 273,440.30 : x
  2. Step 2: Convert to fraction form
    432,872.60/649,308.90 = 273,440.30/x
  3. Step 3: Cross multiply
    432,872.60x = 649,308.90 × 273,440.30
  4. Step 4: Simplify right side
    432,872.60x = 177,547,220,408.67
  5. Step 5: Solve for x
    x = 177,547,220,408.67/432,872.60
  6. Step 6: Final answer
    x = 410,160.45

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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.