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Finding the Fourth Proportional to 314,306.68, 433,753.88 and 171,071.92

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Solution

The fourth proportional to 314,306.68, 433,753.88 and 171,071.92 is: 236,085.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,306.68 : 433,753.88 = 171,071.92 : x
  2. Step 2: Convert to fraction form
    314,306.68/433,753.88 = 171,071.92/x
  3. Step 3: Cross multiply
    314,306.68x = 433,753.88 × 171,071.92
  4. Step 4: Simplify right side
    314,306.68x = 74,203,109,059.05
  5. Step 5: Solve for x
    x = 74,203,109,059.05/314,306.68
  6. Step 6: Final answer
    x = 236,085.05

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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.