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Finding the Fourth Proportional to 329,599.53, 454,856.31 and 186,381

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Solution

The fourth proportional to 329,599.53, 454,856.31 and 186,381 is: 257,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,599.53 : 454,856.31 = 186,381 : x
  2. Step 2: Convert to fraction form
    329,599.53/454,856.31 = 186,381/x
  3. Step 3: Cross multiply
    329,599.53x = 454,856.31 × 186,381
  4. Step 4: Simplify right side
    329,599.53x = 84,776,573,914.11
  5. Step 5: Solve for x
    x = 84,776,573,914.11/329,599.53
  6. Step 6: Final answer
    x = 257,210.85

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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.