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Finding the Fourth Proportional to 314,441.64, 433,937.13 and 171,209.46

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Solution

The fourth proportional to 314,441.64, 433,937.13 and 171,209.46 is: 236,273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,441.64 : 433,937.13 = 171,209.46 : x
  2. Step 2: Convert to fraction form
    314,441.64/433,937.13 = 171,209.46/x
  3. Step 3: Cross multiply
    314,441.64x = 433,937.13 × 171,209.46
  4. Step 4: Simplify right side
    314,441.64x = 74,294,141,701.25
  5. Step 5: Solve for x
    x = 74,294,141,701.25/314,441.64
  6. Step 6: Final answer
    x = 236,273.23

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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.