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Finding the Fourth Proportional to 432,001.10, 648,001.65 and 274,925.90

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Solution

The fourth proportional to 432,001.10, 648,001.65 and 274,925.90 is: 412,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,001.10 : 648,001.65 = 274,925.90 : x
  2. Step 2: Convert to fraction form
    432,001.10/648,001.65 = 274,925.90/x
  3. Step 3: Cross multiply
    432,001.10x = 648,001.65 × 274,925.90
  4. Step 4: Simplify right side
    432,001.10x = 178,152,436,827.74
  5. Step 5: Solve for x
    x = 178,152,436,827.74/432,001.10
  6. Step 6: Final answer
    x = 412,388.85

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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.