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Finding the Fourth Proportional to 576,095.80, 864,143.70 and 202,118.80

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Solution

The fourth proportional to 576,095.80, 864,143.70 and 202,118.80 is: 303,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,095.80 : 864,143.70 = 202,118.80 : x
  2. Step 2: Convert to fraction form
    576,095.80/864,143.70 = 202,118.80/x
  3. Step 3: Cross multiply
    576,095.80x = 864,143.70 × 202,118.80
  4. Step 4: Simplify right side
    576,095.80x = 174,659,687,671.56
  5. Step 5: Solve for x
    x = 174,659,687,671.56/576,095.80
  6. Step 6: Final answer
    x = 303,178.20

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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.