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Finding the Fourth Proportional to 286,777.62, 430,223.85 and 160,597.31

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Solution

The fourth proportional to 286,777.62, 430,223.85 and 160,597.31 is: 240,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,777.62 : 430,223.85 = 160,597.31 : x
  2. Step 2: Convert to fraction form
    286,777.62/430,223.85 = 160,597.31/x
  3. Step 3: Cross multiply
    286,777.62x = 430,223.85 × 160,597.31
  4. Step 4: Simplify right side
    286,777.62x = 69,092,790,856.72
  5. Step 5: Solve for x
    x = 69,092,790,856.72/286,777.62
  6. Step 6: Final answer
    x = 240,928.11

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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.