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Finding the Fourth Proportional to 338,042.72, 466,494.36 and 185,078.96

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Solution

The fourth proportional to 338,042.72, 466,494.36 and 185,078.96 is: 255,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,042.72 : 466,494.36 = 185,078.96 : x
  2. Step 2: Convert to fraction form
    338,042.72/466,494.36 = 185,078.96/x
  3. Step 3: Cross multiply
    338,042.72x = 466,494.36 × 185,078.96
  4. Step 4: Simplify right side
    338,042.72x = 86,338,290,994.67
  5. Step 5: Solve for x
    x = 86,338,290,994.67/338,042.72
  6. Step 6: Final answer
    x = 255,406.45

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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.