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Finding the Fourth Proportional to 522,780.48, 784,502.82 and 223,263.54

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Solution

The fourth proportional to 522,780.48, 784,502.82 and 223,263.54 is: 335,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,780.48 : 784,502.82 = 223,263.54 : x
  2. Step 2: Convert to fraction form
    522,780.48/784,502.82 = 223,263.54/x
  3. Step 3: Cross multiply
    522,780.48x = 784,502.82 × 223,263.54
  4. Step 4: Simplify right side
    522,780.48x = 175,150,876,733.18
  5. Step 5: Solve for x
    x = 175,150,876,733.18/522,780.48
  6. Step 6: Final answer
    x = 335,037.14

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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.