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Finding the Fourth Proportional to 257,605.60, 386,408.40 and 173,624.80

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Solution

The fourth proportional to 257,605.60, 386,408.40 and 173,624.80 is: 260,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,605.60 : 386,408.40 = 173,624.80 : x
  2. Step 2: Convert to fraction form
    257,605.60/386,408.40 = 173,624.80/x
  3. Step 3: Cross multiply
    257,605.60x = 386,408.40 × 173,624.80
  4. Step 4: Simplify right side
    257,605.60x = 67,090,081,168.32
  5. Step 5: Solve for x
    x = 67,090,081,168.32/257,605.60
  6. Step 6: Final answer
    x = 260,437.20

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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.