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Finding the Fourth Proportional to 304,398.32, 456,787.16 and 146,642.80

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Solution

The fourth proportional to 304,398.32, 456,787.16 and 146,642.80 is: 220,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,398.32 : 456,787.16 = 146,642.80 : x
  2. Step 2: Convert to fraction form
    304,398.32/456,787.16 = 146,642.80/x
  3. Step 3: Cross multiply
    304,398.32x = 456,787.16 × 146,642.80
  4. Step 4: Simplify right side
    304,398.32x = 66,984,548,146.45
  5. Step 5: Solve for x
    x = 66,984,548,146.45/304,398.32
  6. Step 6: Final answer
    x = 220,055.58

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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.