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Finding the Fourth Proportional to 257,339.40, 386,433.54 and 173,637.24

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Solution

The fourth proportional to 257,339.40, 386,433.54 and 173,637.24 is: 260,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,339.40 : 386,433.54 = 173,637.24 : x
  2. Step 2: Convert to fraction form
    257,339.40/386,433.54 = 173,637.24/x
  3. Step 3: Cross multiply
    257,339.40x = 386,433.54 × 173,637.24
  4. Step 4: Simplify right side
    257,339.40x = 67,099,253,329.03
  5. Step 5: Solve for x
    x = 67,099,253,329.03/257,339.40
  6. Step 6: Final answer
    x = 260,742.25

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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.