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Finding the Fourth Proportional to 299,965.34, 413,947.77 and 163,999.82

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Solution

The fourth proportional to 299,965.34, 413,947.77 and 163,999.82 is: 226,317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,965.34 : 413,947.77 = 163,999.82 : x
  2. Step 2: Convert to fraction form
    299,965.34/413,947.77 = 163,999.82/x
  3. Step 3: Cross multiply
    299,965.34x = 413,947.77 × 163,999.82
  4. Step 4: Simplify right side
    299,965.34x = 67,887,360,189.27
  5. Step 5: Solve for x
    x = 67,887,360,189.27/299,965.34
  6. Step 6: Final answer
    x = 226,317.35

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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.