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Finding the Fourth Proportional to 288,298.67, 397,853.64 and 160,975.17

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Solution

The fourth proportional to 288,298.67, 397,853.64 and 160,975.17 is: 222,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,298.67 : 397,853.64 = 160,975.17 : x
  2. Step 2: Convert to fraction form
    288,298.67/397,853.64 = 160,975.17/x
  3. Step 3: Cross multiply
    288,298.67x = 397,853.64 × 160,975.17
  4. Step 4: Simplify right side
    288,298.67x = 64,044,557,334.12
  5. Step 5: Solve for x
    x = 64,044,557,334.12/288,298.67
  6. Step 6: Final answer
    x = 222,146.56

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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.