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Finding the Fourth Proportional to 299,311.59, 413,058.69 and 163,354.26

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Solution

The fourth proportional to 299,311.59, 413,058.69 and 163,354.26 is: 225,433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,311.59 : 413,058.69 = 163,354.26 : x
  2. Step 2: Convert to fraction form
    299,311.59/413,058.69 = 163,354.26/x
  3. Step 3: Cross multiply
    299,311.59x = 413,058.69 × 163,354.26
  4. Step 4: Simplify right side
    299,311.59x = 67,474,896,641.52
  5. Step 5: Solve for x
    x = 67,474,896,641.52/299,311.59
  6. Step 6: Final answer
    x = 225,433.62

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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.