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Finding the Fourth Proportional to 287,846.70, 431,767.02 and 98,304.90

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Solution

The fourth proportional to 287,846.70, 431,767.02 and 98,304.90 is: 147,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,846.70 : 431,767.02 = 98,304.90 : x
  2. Step 2: Convert to fraction form
    287,846.70/431,767.02 = 98,304.90/x
  3. Step 3: Cross multiply
    287,846.70x = 431,767.02 × 98,304.90
  4. Step 4: Simplify right side
    287,846.70x = 42,444,813,724.40
  5. Step 5: Solve for x
    x = 42,444,813,724.40/287,846.70
  6. Step 6: Final answer
    x = 147,456.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.