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Finding the Fourth Proportional to 328,184.53, 492,364.31 and 117,824.29

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Solution

The fourth proportional to 328,184.53, 492,364.31 and 117,824.29 is: 176,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,184.53 : 492,364.31 = 117,824.29 : x
  2. Step 2: Convert to fraction form
    328,184.53/492,364.31 = 117,824.29/x
  3. Step 3: Cross multiply
    328,184.53x = 492,364.31 × 117,824.29
  4. Step 4: Simplify right side
    328,184.53x = 58,012,473,427.06
  5. Step 5: Solve for x
    x = 58,012,473,427.06/328,184.53
  6. Step 6: Final answer
    x = 176,767.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.