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Finding the Fourth Proportional to 287,915.76, 431,873.64 and 147,584.88

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Solution

The fourth proportional to 287,915.76, 431,873.64 and 147,584.88 is: 221,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,915.76 : 431,873.64 = 147,584.88 : x
  2. Step 2: Convert to fraction form
    287,915.76/431,873.64 = 147,584.88/x
  3. Step 3: Cross multiply
    287,915.76x = 431,873.64 × 147,584.88
  4. Step 4: Simplify right side
    287,915.76x = 63,738,019,334.56
  5. Step 5: Solve for x
    x = 63,738,019,334.56/287,915.76
  6. Step 6: Final answer
    x = 221,377.32

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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.