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Finding the Fourth Proportional to 301,658.98, 416,290.24 and 167,522.98

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Solution

The fourth proportional to 301,658.98, 416,290.24 and 167,522.98 is: 231,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,658.98 : 416,290.24 = 167,522.98 : x
  2. Step 2: Convert to fraction form
    301,658.98/416,290.24 = 167,522.98/x
  3. Step 3: Cross multiply
    301,658.98x = 416,290.24 × 167,522.98
  4. Step 4: Simplify right side
    301,658.98x = 69,738,181,549.72
  5. Step 5: Solve for x
    x = 69,738,181,549.72/301,658.98
  6. Step 6: Final answer
    x = 231,182.18

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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.