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Finding the Fourth Proportional to 338,694.64, 467,404.02 and 185,746.84

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Solution

The fourth proportional to 338,694.64, 467,404.02 and 185,746.84 is: 256,333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,694.64 : 467,404.02 = 185,746.84 : x
  2. Step 2: Convert to fraction form
    338,694.64/467,404.02 = 185,746.84/x
  3. Step 3: Cross multiply
    338,694.64x = 467,404.02 × 185,746.84
  4. Step 4: Simplify right side
    338,694.64x = 86,818,819,718.30
  5. Step 5: Solve for x
    x = 86,818,819,718.30/338,694.64
  6. Step 6: Final answer
    x = 256,333.61

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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.