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Finding the Fourth Proportional to 294,565.36, 406,485.72 and 167,224.24

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Solution

The fourth proportional to 294,565.36, 406,485.72 and 167,224.24 is: 230,761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,565.36 : 406,485.72 = 167,224.24 : x
  2. Step 2: Convert to fraction form
    294,565.36/406,485.72 = 167,224.24/x
  3. Step 3: Cross multiply
    294,565.36x = 406,485.72 × 167,224.24
  4. Step 4: Simplify right side
    294,565.36x = 67,974,265,597.85
  5. Step 5: Solve for x
    x = 67,974,265,597.85/294,565.36
  6. Step 6: Final answer
    x = 230,761.23

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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.