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Finding the Fourth Proportional to 257,337.47, 385,651.19 and 185,689.22

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Solution

The fourth proportional to 257,337.47, 385,651.19 and 185,689.22 is: 278,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,337.47 : 385,651.19 = 185,689.22 : x
  2. Step 2: Convert to fraction form
    257,337.47/385,651.19 = 185,689.22/x
  3. Step 3: Cross multiply
    257,337.47x = 385,651.19 × 185,689.22
  4. Step 4: Simplify right side
    257,337.47x = 71,611,267,199.14
  5. Step 5: Solve for x
    x = 71,611,267,199.14/257,337.47
  6. Step 6: Final answer
    x = 278,277.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.