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Finding the Fourth Proportional to 288,058.64, 397,520.62 and 160,734.25

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Solution

The fourth proportional to 288,058.64, 397,520.62 and 160,734.25 is: 221,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,058.64 : 397,520.62 = 160,734.25 : x
  2. Step 2: Convert to fraction form
    288,058.64/397,520.62 = 160,734.25/x
  3. Step 3: Cross multiply
    288,058.64x = 397,520.62 × 160,734.25
  4. Step 4: Simplify right side
    288,058.64x = 63,895,177,319.60
  5. Step 5: Solve for x
    x = 63,895,177,319.60/288,058.64
  6. Step 6: Final answer
    x = 221,813.09

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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.