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Finding the Fourth Proportional to 580,013.04, 869,811.80 and 200,831.90

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Solution

The fourth proportional to 580,013.04, 869,811.80 and 200,831.90 is: 301,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,013.04 : 869,811.80 = 200,831.90 : x
  2. Step 2: Convert to fraction form
    580,013.04/869,811.80 = 200,831.90/x
  3. Step 3: Cross multiply
    580,013.04x = 869,811.80 × 200,831.90
  4. Step 4: Simplify right side
    580,013.04x = 174,685,951,083.20
  5. Step 5: Solve for x
    x = 174,685,951,083.20/580,013.04
  6. Step 6: Final answer
    x = 301,175.90

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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.