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Finding the Fourth Proportional to 580,795.28, 871,225.68 and 206,818.32

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Solution

The fourth proportional to 580,795.28, 871,225.68 and 206,818.32 is: 310,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,795.28 : 871,225.68 = 206,818.32 : x
  2. Step 2: Convert to fraction form
    580,795.28/871,225.68 = 206,818.32/x
  3. Step 3: Cross multiply
    580,795.28x = 871,225.68 × 206,818.32
  4. Step 4: Simplify right side
    580,795.28x = 180,185,431,478.46
  5. Step 5: Solve for x
    x = 180,185,431,478.46/580,795.28
  6. Step 6: Final answer
    x = 310,239.15

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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.