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Finding the Fourth Proportional to 468,023.32, 701,398.81 and 197,926.93

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Solution

The fourth proportional to 468,023.32, 701,398.81 and 197,926.93 is: 296,621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,023.32 : 701,398.81 = 197,926.93 : x
  2. Step 2: Convert to fraction form
    468,023.32/701,398.81 = 197,926.93/x
  3. Step 3: Cross multiply
    468,023.32x = 701,398.81 × 197,926.93
  4. Step 4: Simplify right side
    468,023.32x = 138,825,713,168.95
  5. Step 5: Solve for x
    x = 138,825,713,168.95/468,023.32
  6. Step 6: Final answer
    x = 296,621.36

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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.