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Finding the Fourth Proportional to 287,568.90, 431,353.35 and 161,597.70

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Solution

The fourth proportional to 287,568.90, 431,353.35 and 161,597.70 is: 242,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,568.90 : 431,353.35 = 161,597.70 : x
  2. Step 2: Convert to fraction form
    287,568.90/431,353.35 = 161,597.70/x
  3. Step 3: Cross multiply
    287,568.90x = 431,353.35 × 161,597.70
  4. Step 4: Simplify right side
    287,568.90x = 69,705,709,247.30
  5. Step 5: Solve for x
    x = 69,705,709,247.30/287,568.90
  6. Step 6: Final answer
    x = 242,396.55

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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.