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Finding the Fourth Proportional to 299,439.71, 413,187.58 and 178,595.18

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Solution

The fourth proportional to 299,439.71, 413,187.58 and 178,595.18 is: 246,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,439.71 : 413,187.58 = 178,595.18 : x
  2. Step 2: Convert to fraction form
    299,439.71/413,187.58 = 178,595.18/x
  3. Step 3: Cross multiply
    299,439.71x = 413,187.58 × 178,595.18
  4. Step 4: Simplify right side
    299,439.71x = 73,793,310,223.86
  5. Step 5: Solve for x
    x = 73,793,310,223.86/299,439.71
  6. Step 6: Final answer
    x = 246,437.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.