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Finding the Fourth Proportional to 647,007.20, 971,385.60 and 410,811.20

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Solution

The fourth proportional to 647,007.20, 971,385.60 and 410,811.20 is: 616,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,007.20 : 971,385.60 = 410,811.20 : x
  2. Step 2: Convert to fraction form
    647,007.20/971,385.60 = 410,811.20/x
  3. Step 3: Cross multiply
    647,007.20x = 971,385.60 × 410,811.20
  4. Step 4: Simplify right side
    647,007.20x = 399,056,083,998.72
  5. Step 5: Solve for x
    x = 399,056,083,998.72/647,007.20
  6. Step 6: Final answer
    x = 616,772.25

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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.