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Finding the Fourth Proportional to 299,472.57, 413,281.17 and 170,429.54

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Solution

The fourth proportional to 299,472.57, 413,281.17 and 170,429.54 is: 235,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,472.57 : 413,281.17 = 170,429.54 : x
  2. Step 2: Convert to fraction form
    299,472.57/413,281.17 = 170,429.54/x
  3. Step 3: Cross multiply
    299,472.57x = 413,281.17 × 170,429.54
  4. Step 4: Simplify right side
    299,472.57x = 70,435,317,627.36
  5. Step 5: Solve for x
    x = 70,435,317,627.36/299,472.57
  6. Step 6: Final answer
    x = 235,197.89

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1.5x scale

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.