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Finding the Fourth Proportional to 432,416.52, 648,686.80 and 132,922.24

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Solution

The fourth proportional to 432,416.52, 648,686.80 and 132,922.24 is: 199,402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,416.52 : 648,686.80 = 132,922.24 : x
  2. Step 2: Convert to fraction form
    432,416.52/648,686.80 = 132,922.24/x
  3. Step 3: Cross multiply
    432,416.52x = 648,686.80 × 132,922.24
  4. Step 4: Simplify right side
    432,416.52x = 86,224,903,960.04
  5. Step 5: Solve for x
    x = 86,224,903,960.04/432,416.52
  6. Step 6: Final answer
    x = 199,402.43

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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.