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Finding the Fourth Proportional to 338,291, 466,842.16 and 185,325.85

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Solution

The fourth proportional to 338,291, 466,842.16 and 185,325.85 is: 255,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,291 : 466,842.16 = 185,325.85 : x
  2. Step 2: Convert to fraction form
    338,291/466,842.16 = 185,325.85/x
  3. Step 3: Cross multiply
    338,291x = 466,842.16 × 185,325.85
  4. Step 4: Simplify right side
    338,291x = 86,517,920,117.84
  5. Step 5: Solve for x
    x = 86,517,920,117.84/338,291
  6. Step 6: Final answer
    x = 255,749.99

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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.