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Finding the Fourth Proportional to 647,172.80, 971,050.80 and 310,083.20

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Solution

The fourth proportional to 647,172.80, 971,050.80 and 310,083.20 is: 465,264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,172.80 : 971,050.80 = 310,083.20 : x
  2. Step 2: Convert to fraction form
    647,172.80/971,050.80 = 310,083.20/x
  3. Step 3: Cross multiply
    647,172.80x = 971,050.80 × 310,083.20
  4. Step 4: Simplify right side
    647,172.80x = 301,106,539,426.56
  5. Step 5: Solve for x
    x = 301,106,539,426.56/647,172.80
  6. Step 6: Final answer
    x = 465,264.52

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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.