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Finding the Fourth Proportional to 647,471.20, 971,206.80 and 589,410.40

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Solution

The fourth proportional to 647,471.20, 971,206.80 and 589,410.40 is: 884,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,471.20 : 971,206.80 = 589,410.40 : x
  2. Step 2: Convert to fraction form
    647,471.20/971,206.80 = 589,410.40/x
  3. Step 3: Cross multiply
    647,471.20x = 971,206.80 × 589,410.40
  4. Step 4: Simplify right side
    647,471.20x = 572,439,388,470.72
  5. Step 5: Solve for x
    x = 572,439,388,470.72/647,471.20
  6. Step 6: Final answer
    x = 884,115.60

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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.