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Finding the Fourth Proportional to 580,854.80, 871,325.40 and 206,829.20

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Solution

The fourth proportional to 580,854.80, 871,325.40 and 206,829.20 is: 310,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,854.80 : 871,325.40 = 206,829.20 : x
  2. Step 2: Convert to fraction form
    580,854.80/871,325.40 = 206,829.20/x
  3. Step 3: Cross multiply
    580,854.80x = 871,325.40 × 206,829.20
  4. Step 4: Simplify right side
    580,854.80x = 180,215,535,421.68
  5. Step 5: Solve for x
    x = 180,215,535,421.68/580,854.80
  6. Step 6: Final answer
    x = 310,259.18

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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.