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Finding the Fourth Proportional to 314,300.37, 433,734.51 and 171,061.43

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Solution

The fourth proportional to 314,300.37, 433,734.51 and 171,061.43 is: 236,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,300.37 : 433,734.51 = 171,061.43 : x
  2. Step 2: Convert to fraction form
    314,300.37/433,734.51 = 171,061.43/x
  3. Step 3: Cross multiply
    314,300.37x = 433,734.51 × 171,061.43
  4. Step 4: Simplify right side
    314,300.37x = 74,195,246,605.29
  5. Step 5: Solve for x
    x = 74,195,246,605.29/314,300.37
  6. Step 6: Final answer
    x = 236,064.78

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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.