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Finding the Fourth Proportional to 580,788, 871,214.84 and 206,811.04

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Solution

The fourth proportional to 580,788, 871,214.84 and 206,811.04 is: 310,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,788 : 871,214.84 = 206,811.04 : x
  2. Step 2: Convert to fraction form
    580,788/871,214.84 = 206,811.04/x
  3. Step 3: Cross multiply
    580,788x = 871,214.84 × 206,811.04
  4. Step 4: Simplify right side
    580,788x = 180,176,847,123.83
  5. Step 5: Solve for x
    x = 180,176,847,123.83/580,788
  6. Step 6: Final answer
    x = 310,228.25

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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.