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Finding the Fourth Proportional to 257,568.12, 386,352.18 and 117,483.48

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Solution

The fourth proportional to 257,568.12, 386,352.18 and 117,483.48 is: 176,225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,568.12 : 386,352.18 = 117,483.48 : x
  2. Step 2: Convert to fraction form
    257,568.12/386,352.18 = 117,483.48/x
  3. Step 3: Cross multiply
    257,568.12x = 386,352.18 × 117,483.48
  4. Step 4: Simplify right side
    257,568.12x = 45,389,998,611.99
  5. Step 5: Solve for x
    x = 45,389,998,611.99/257,568.12
  6. Step 6: Final answer
    x = 176,225.22

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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.