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Finding the Fourth Proportional to 398,335.11, 597,596.05 and 158,462.62

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Solution

The fourth proportional to 398,335.11, 597,596.05 and 158,462.62 is: 237,731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,335.11 : 597,596.05 = 158,462.62 : x
  2. Step 2: Convert to fraction form
    398,335.11/597,596.05 = 158,462.62/x
  3. Step 3: Cross multiply
    398,335.11x = 597,596.05 × 158,462.62
  4. Step 4: Simplify right side
    398,335.11x = 94,696,635,784.65
  5. Step 5: Solve for x
    x = 94,696,635,784.65/398,335.11
  6. Step 6: Final answer
    x = 237,731.08

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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.