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Finding the Fourth Proportional to 314,482.64, 433,993.82 and 171,250.47

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Solution

The fourth proportional to 314,482.64, 433,993.82 and 171,250.47 is: 236,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,482.64 : 433,993.82 = 171,250.47 : x
  2. Step 2: Convert to fraction form
    314,482.64/433,993.82 = 171,250.47/x
  3. Step 3: Cross multiply
    314,482.64x = 433,993.82 × 171,250.47
  4. Step 4: Simplify right side
    314,482.64x = 74,321,644,795.84
  5. Step 5: Solve for x
    x = 74,321,644,795.84/314,482.64
  6. Step 6: Final answer
    x = 236,329.88

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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.