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Finding the Fourth Proportional to 499,532.75, 749,101.88 and 199,957.49

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Solution

The fourth proportional to 499,532.75, 749,101.88 and 199,957.49 is: 299,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,532.75 : 749,101.88 = 199,957.49 : x
  2. Step 2: Convert to fraction form
    499,532.75/749,101.88 = 199,957.49/x
  3. Step 3: Cross multiply
    499,532.75x = 749,101.88 × 199,957.49
  4. Step 4: Simplify right side
    499,532.75x = 149,788,528,433.47
  5. Step 5: Solve for x
    x = 149,788,528,433.47/499,532.75
  6. Step 6: Final answer
    x = 299,857.28

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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.