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Finding the Fourth Proportional to 499,834.60, 749,095.80 and 200,069.80

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Solution

The fourth proportional to 499,834.60, 749,095.80 and 200,069.80 is: 299,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,834.60 : 749,095.80 = 200,069.80 : x
  2. Step 2: Convert to fraction form
    499,834.60/749,095.80 = 200,069.80/x
  3. Step 3: Cross multiply
    499,834.60x = 749,095.80 × 200,069.80
  4. Step 4: Simplify right side
    499,834.60x = 149,871,446,886.84
  5. Step 5: Solve for x
    x = 149,871,446,886.84/499,834.60
  6. Step 6: Final answer
    x = 299,842.08

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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.