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Finding the Fourth Proportional to 341,454.84, 471,233.75 and 188,522.46

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Solution

The fourth proportional to 341,454.84, 471,233.75 and 188,522.46 is: 260,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,454.84 : 471,233.75 = 188,522.46 : x
  2. Step 2: Convert to fraction form
    341,454.84/471,233.75 = 188,522.46/x
  3. Step 3: Cross multiply
    341,454.84x = 471,233.75 × 188,522.46
  4. Step 4: Simplify right side
    341,454.84x = 88,838,144,842.41
  5. Step 5: Solve for x
    x = 88,838,144,842.41/341,454.84
  6. Step 6: Final answer
    x = 260,175.39

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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.