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Finding the Fourth Proportional to 301,368.50, 415,907.97 and 167,232.50

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Solution

The fourth proportional to 301,368.50, 415,907.97 and 167,232.50 is: 230,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,368.50 : 415,907.97 = 167,232.50 : x
  2. Step 2: Convert to fraction form
    301,368.50/415,907.97 = 167,232.50/x
  3. Step 3: Cross multiply
    301,368.50x = 415,907.97 × 167,232.50
  4. Step 4: Simplify right side
    301,368.50x = 69,553,329,593.03
  5. Step 5: Solve for x
    x = 69,553,329,593.03/301,368.50
  6. Step 6: Final answer
    x = 230,791.64

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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.