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Finding the Fourth Proportional to 432,652.20, 596,216.52 and 311,564.70

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Solution

The fourth proportional to 432,652.20, 596,216.52 and 311,564.70 is: 429,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,652.20 : 596,216.52 = 311,564.70 : x
  2. Step 2: Convert to fraction form
    432,652.20/596,216.52 = 311,564.70/x
  3. Step 3: Cross multiply
    432,652.20x = 596,216.52 × 311,564.70
  4. Step 4: Simplify right side
    432,652.20x = 185,760,021,188.84
  5. Step 5: Solve for x
    x = 185,760,021,188.84/432,652.20
  6. Step 6: Final answer
    x = 429,351.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.