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Finding the Fourth Proportional to 580,970.35, 871,454.84 and 201,891.11

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Solution

The fourth proportional to 580,970.35, 871,454.84 and 201,891.11 is: 302,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,970.35 : 871,454.84 = 201,891.11 : x
  2. Step 2: Convert to fraction form
    580,970.35/871,454.84 = 201,891.11/x
  3. Step 3: Cross multiply
    580,970.35x = 871,454.84 × 201,891.11
  4. Step 4: Simplify right side
    580,970.35x = 175,938,983,750.17
  5. Step 5: Solve for x
    x = 175,938,983,750.17/580,970.35
  6. Step 6: Final answer
    x = 302,836.43

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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.