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Finding the Fourth Proportional to 432,829.60, 648,937.20 and 166,487.20

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Solution

The fourth proportional to 432,829.60, 648,937.20 and 166,487.20 is: 249,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,829.60 : 648,937.20 = 166,487.20 : x
  2. Step 2: Convert to fraction form
    432,829.60/648,937.20 = 166,487.20/x
  3. Step 3: Cross multiply
    432,829.60x = 648,937.20 × 166,487.20
  4. Step 4: Simplify right side
    432,829.60x = 108,039,737,403.84
  5. Step 5: Solve for x
    x = 108,039,737,403.84/432,829.60
  6. Step 6: Final answer
    x = 249,612.64

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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.