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Finding the Fourth Proportional to 287,872.32, 397,264.80 and 160,574.40

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Solution

The fourth proportional to 287,872.32, 397,264.80 and 160,574.40 is: 221,593.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,872.32 : 397,264.80 = 160,574.40 : x
  2. Step 2: Convert to fraction form
    287,872.32/397,264.80 = 160,574.40/x
  3. Step 3: Cross multiply
    287,872.32x = 397,264.80 × 160,574.40
  4. Step 4: Simplify right side
    287,872.32x = 63,790,556,901.12
  5. Step 5: Solve for x
    x = 63,790,556,901.12/287,872.32
  6. Step 6: Final answer
    x = 221,593.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.