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Finding the Fourth Proportional to 294,948.90, 407,064.03 and 167,643.63

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Solution

The fourth proportional to 294,948.90, 407,064.03 and 167,643.63 is: 231,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,948.90 : 407,064.03 = 167,643.63 : x
  2. Step 2: Convert to fraction form
    294,948.90/407,064.03 = 167,643.63/x
  3. Step 3: Cross multiply
    294,948.90x = 407,064.03 × 167,643.63
  4. Step 4: Simplify right side
    294,948.90x = 68,241,691,631.63
  5. Step 5: Solve for x
    x = 68,241,691,631.63/294,948.90
  6. Step 6: Final answer
    x = 231,367.85

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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.