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Finding the Fourth Proportional to 307,894.40, 462,316.80 and 167,926.40

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Solution

The fourth proportional to 307,894.40, 462,316.80 and 167,926.40 is: 252,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,894.40 : 462,316.80 = 167,926.40 : x
  2. Step 2: Convert to fraction form
    307,894.40/462,316.80 = 167,926.40/x
  3. Step 3: Cross multiply
    307,894.40x = 462,316.80 × 167,926.40
  4. Step 4: Simplify right side
    307,894.40x = 77,635,195,883.52
  5. Step 5: Solve for x
    x = 77,635,195,883.52/307,894.40
  6. Step 6: Final answer
    x = 252,148.78

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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.