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Finding the Fourth Proportional to 288,077.94, 397,547.57 and 159,016.44

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Solution

The fourth proportional to 288,077.94, 397,547.57 and 159,016.44 is: 219,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,077.94 : 397,547.57 = 159,016.44 : x
  2. Step 2: Convert to fraction form
    288,077.94/397,547.57 = 159,016.44/x
  3. Step 3: Cross multiply
    288,077.94x = 397,547.57 × 159,016.44
  4. Step 4: Simplify right side
    288,077.94x = 63,216,598,516.97
  5. Step 5: Solve for x
    x = 63,216,598,516.97/288,077.94
  6. Step 6: Final answer
    x = 219,442.69

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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.