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Finding the Fourth Proportional to 314,876.66, 434,521.14 and 171,639.50

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Solution

The fourth proportional to 314,876.66, 434,521.14 and 171,639.50 is: 236,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,876.66 : 434,521.14 = 171,639.50 : x
  2. Step 2: Convert to fraction form
    314,876.66/434,521.14 = 171,639.50/x
  3. Step 3: Cross multiply
    314,876.66x = 434,521.14 × 171,639.50
  4. Step 4: Simplify right side
    314,876.66x = 74,580,991,209.03
  5. Step 5: Solve for x
    x = 74,580,991,209.03/314,876.66
  6. Step 6: Final answer
    x = 236,857.79

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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.