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Finding the Fourth Proportional to 530,780.76, 796,306 and 156,803.76

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Solution

The fourth proportional to 530,780.76, 796,306 and 156,803.76 is: 235,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,780.76 : 796,306 = 156,803.76 : x
  2. Step 2: Convert to fraction form
    530,780.76/796,306 = 156,803.76/x
  3. Step 3: Cross multiply
    530,780.76x = 796,306 × 156,803.76
  4. Step 4: Simplify right side
    530,780.76x = 124,863,774,910.56
  5. Step 5: Solve for x
    x = 124,863,774,910.56/530,780.76
  6. Step 6: Final answer
    x = 235,245.48

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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.