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Finding the Fourth Proportional to 647,409.60, 971,114.40 and 513,565.20

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Solution

The fourth proportional to 647,409.60, 971,114.40 and 513,565.20 is: 770,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,409.60 : 971,114.40 = 513,565.20 : x
  2. Step 2: Convert to fraction form
    647,409.60/971,114.40 = 513,565.20/x
  3. Step 3: Cross multiply
    647,409.60x = 971,114.40 × 513,565.20
  4. Step 4: Simplify right side
    647,409.60x = 498,730,561,058.88
  5. Step 5: Solve for x
    x = 498,730,561,058.88/647,409.60
  6. Step 6: Final answer
    x = 770,347.80

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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.