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Finding the Fourth Proportional to 294,729.84, 406,728.54 and 167,412.42

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Solution

The fourth proportional to 294,729.84, 406,728.54 and 167,412.42 is: 231,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,729.84 : 406,728.54 = 167,412.42 : x
  2. Step 2: Convert to fraction form
    294,729.84/406,728.54 = 167,412.42/x
  3. Step 3: Cross multiply
    294,729.84x = 406,728.54 × 167,412.42
  4. Step 4: Simplify right side
    294,729.84x = 68,091,409,164.47
  5. Step 5: Solve for x
    x = 68,091,409,164.47/294,729.84
  6. Step 6: Final answer
    x = 231,029.91

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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.