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Finding the Fourth Proportional to 287,674.31, 396,995.76 and 160,336.23

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Solution

The fourth proportional to 287,674.31, 396,995.76 and 160,336.23 is: 221,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,674.31 : 396,995.76 = 160,336.23 : x
  2. Step 2: Convert to fraction form
    287,674.31/396,995.76 = 160,336.23/x
  3. Step 3: Cross multiply
    287,674.31x = 396,995.76 × 160,336.23
  4. Step 4: Simplify right side
    287,674.31x = 63,652,803,484.38
  5. Step 5: Solve for x
    x = 63,652,803,484.38/287,674.31
  6. Step 6: Final answer
    x = 221,266.91

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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.