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Finding the Fourth Proportional to 287,797.20, 431,695.80 and 161,307.60

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Solution

The fourth proportional to 287,797.20, 431,695.80 and 161,307.60 is: 241,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,797.20 : 431,695.80 = 161,307.60 : x
  2. Step 2: Convert to fraction form
    287,797.20/431,695.80 = 161,307.60/x
  3. Step 3: Cross multiply
    287,797.20x = 431,695.80 × 161,307.60
  4. Step 4: Simplify right side
    287,797.20x = 69,635,813,428.08
  5. Step 5: Solve for x
    x = 69,635,813,428.08/287,797.20
  6. Step 6: Final answer
    x = 241,961.40

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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.