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Finding the Fourth Proportional to 314,472.78, 433,974.51 and 171,232.11

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Solution

The fourth proportional to 314,472.78, 433,974.51 and 171,232.11 is: 236,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,472.78 : 433,974.51 = 171,232.11 : x
  2. Step 2: Convert to fraction form
    314,472.78/433,974.51 = 171,232.11/x
  3. Step 3: Cross multiply
    314,472.78x = 433,974.51 × 171,232.11
  4. Step 4: Simplify right side
    314,472.78x = 74,310,371,033.52
  5. Step 5: Solve for x
    x = 74,310,371,033.52/314,472.78
  6. Step 6: Final answer
    x = 236,301.44

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1.5x scale

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.