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Finding the Fourth Proportional to 262,308.10, 393,462.15 and 167,829.70

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Solution

The fourth proportional to 262,308.10, 393,462.15 and 167,829.70 is: 251,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,308.10 : 393,462.15 = 167,829.70 : x
  2. Step 2: Convert to fraction form
    262,308.10/393,462.15 = 167,829.70/x
  3. Step 3: Cross multiply
    262,308.10x = 393,462.15 × 167,829.70
  4. Step 4: Simplify right side
    262,308.10x = 66,034,634,595.86
  5. Step 5: Solve for x
    x = 66,034,634,595.86/262,308.10
  6. Step 6: Final answer
    x = 251,744.55

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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.