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Finding the Fourth Proportional to 432,016.80, 648,122.40 and 254,432.40

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Solution

The fourth proportional to 432,016.80, 648,122.40 and 254,432.40 is: 381,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,016.80 : 648,122.40 = 254,432.40 : x
  2. Step 2: Convert to fraction form
    432,016.80/648,122.40 = 254,432.40/x
  3. Step 3: Cross multiply
    432,016.80x = 648,122.40 × 254,432.40
  4. Step 4: Simplify right side
    432,016.80x = 164,903,337,725.76
  5. Step 5: Solve for x
    x = 164,903,337,725.76/432,016.80
  6. Step 6: Final answer
    x = 381,705.85

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1.5x scale

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.