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Finding the Fourth Proportional to 580,928.40, 871,418.20 and 328,205.20

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Solution

The fourth proportional to 580,928.40, 871,418.20 and 328,205.20 is: 492,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,928.40 : 871,418.20 = 328,205.20 : x
  2. Step 2: Convert to fraction form
    580,928.40/871,418.20 = 328,205.20/x
  3. Step 3: Cross multiply
    580,928.40x = 871,418.20 × 328,205.20
  4. Step 4: Simplify right side
    580,928.40x = 286,003,984,614.64
  5. Step 5: Solve for x
    x = 286,003,984,614.64/580,928.40
  6. Step 6: Final answer
    x = 492,322.26

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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.