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Finding the Fourth Proportional to 399,965.47, 600,114.96 and 175,487.24

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Solution

The fourth proportional to 399,965.47, 600,114.96 and 175,487.24 is: 263,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,965.47 : 600,114.96 = 175,487.24 : x
  2. Step 2: Convert to fraction form
    399,965.47/600,114.96 = 175,487.24/x
  3. Step 3: Cross multiply
    399,965.47x = 600,114.96 × 175,487.24
  4. Step 4: Simplify right side
    399,965.47x = 105,312,515,012.54
  5. Step 5: Solve for x
    x = 105,312,515,012.54/399,965.47
  6. Step 6: Final answer
    x = 263,304.02

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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.