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Finding the Fourth Proportional to 338,362, 466,954.86 and 187,459

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Solution

The fourth proportional to 338,362, 466,954.86 and 187,459 is: 258,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,362 : 466,954.86 = 187,459 : x
  2. Step 2: Convert to fraction form
    338,362/466,954.86 = 187,459/x
  3. Step 3: Cross multiply
    338,362x = 466,954.86 × 187,459
  4. Step 4: Simplify right side
    338,362x = 87,534,891,100.74
  5. Step 5: Solve for x
    x = 87,534,891,100.74/338,362
  6. Step 6: Final answer
    x = 258,701.90

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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.