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Finding the Fourth Proportional to 299,582.21, 413,426.27 and 170,514.38

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Solution

The fourth proportional to 299,582.21, 413,426.27 and 170,514.38 is: 235,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,582.21 : 413,426.27 = 170,514.38 : x
  2. Step 2: Convert to fraction form
    299,582.21/413,426.27 = 170,514.38/x
  3. Step 3: Cross multiply
    299,582.21x = 413,426.27 × 170,514.38
  4. Step 4: Simplify right side
    299,582.21x = 70,495,123,252.19
  5. Step 5: Solve for x
    x = 70,495,123,252.19/299,582.21
  6. Step 6: Final answer
    x = 235,311.45

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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.