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Finding the Fourth Proportional to 314,616.92, 434,156.41 and 178,633.02

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Solution

The fourth proportional to 314,616.92, 434,156.41 and 178,633.02 is: 246,505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,616.92 : 434,156.41 = 178,633.02 : x
  2. Step 2: Convert to fraction form
    314,616.92/434,156.41 = 178,633.02/x
  3. Step 3: Cross multiply
    314,616.92x = 434,156.41 × 178,633.02
  4. Step 4: Simplify right side
    314,616.92x = 77,554,670,296.16
  5. Step 5: Solve for x
    x = 77,554,670,296.16/314,616.92
  6. Step 6: Final answer
    x = 246,505.08

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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.