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Finding the Fourth Proportional to 314,411.88, 433,896.19 and 171,179.78

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Solution

The fourth proportional to 314,411.88, 433,896.19 and 171,179.78 is: 236,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,411.88 : 433,896.19 = 171,179.78 : x
  2. Step 2: Convert to fraction form
    314,411.88/433,896.19 = 171,179.78/x
  3. Step 3: Cross multiply
    314,411.88x = 433,896.19 × 171,179.78
  4. Step 4: Simplify right side
    314,411.88x = 74,274,254,347.04
  5. Step 5: Solve for x
    x = 74,274,254,347.04/314,411.88
  6. Step 6: Final answer
    x = 236,232.34

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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.