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Finding the Fourth Proportional to 432,034.60, 648,051.90 and 361,175.80

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Solution

The fourth proportional to 432,034.60, 648,051.90 and 361,175.80 is: 541,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,034.60 : 648,051.90 = 361,175.80 : x
  2. Step 2: Convert to fraction form
    432,034.60/648,051.90 = 361,175.80/x
  3. Step 3: Cross multiply
    432,034.60x = 648,051.90 × 361,175.80
  4. Step 4: Simplify right side
    432,034.60x = 234,060,663,424.02
  5. Step 5: Solve for x
    x = 234,060,663,424.02/432,034.60
  6. Step 6: Final answer
    x = 541,763.70

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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.