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Finding the Fourth Proportional to 499,875.40, 749,229.90 and 200,207.80

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Solution

The fourth proportional to 499,875.40, 749,229.90 and 200,207.80 is: 300,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,875.40 : 749,229.90 = 200,207.80 : x
  2. Step 2: Convert to fraction form
    499,875.40/749,229.90 = 200,207.80/x
  3. Step 3: Cross multiply
    499,875.40x = 749,229.90 × 200,207.80
  4. Step 4: Simplify right side
    499,875.40x = 150,001,669,973.22
  5. Step 5: Solve for x
    x = 150,001,669,973.22/499,875.40
  6. Step 6: Final answer
    x = 300,078.12

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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.