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Finding the Fourth Proportional to 499,873.98, 749,478.36 and 275,340.16

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Solution

The fourth proportional to 499,873.98, 749,478.36 and 275,340.16 is: 412,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,873.98 : 749,478.36 = 275,340.16 : x
  2. Step 2: Convert to fraction form
    499,873.98/749,478.36 = 275,340.16/x
  3. Step 3: Cross multiply
    499,873.98x = 749,478.36 × 275,340.16
  4. Step 4: Simplify right side
    499,873.98x = 206,361,487,811.55
  5. Step 5: Solve for x
    x = 206,361,487,811.55/499,873.98
  6. Step 6: Final answer
    x = 412,827.02

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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.