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Finding the Fourth Proportional to 647,568.80, 971,353.20 and 436,061.60

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Solution

The fourth proportional to 647,568.80, 971,353.20 and 436,061.60 is: 654,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,568.80 : 971,353.20 = 436,061.60 : x
  2. Step 2: Convert to fraction form
    647,568.80/971,353.20 = 436,061.60/x
  3. Step 3: Cross multiply
    647,568.80x = 971,353.20 × 436,061.60
  4. Step 4: Simplify right side
    647,568.80x = 423,569,830,557.12
  5. Step 5: Solve for x
    x = 423,569,830,557.12/647,568.80
  6. Step 6: Final answer
    x = 654,092.40

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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.