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Finding the Fourth Proportional to 294,525.56, 406,498.54 and 173,659.64

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Solution

The fourth proportional to 294,525.56, 406,498.54 and 173,659.64 is: 239,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,525.56 : 406,498.54 = 173,659.64 : x
  2. Step 2: Convert to fraction form
    294,525.56/406,498.54 = 173,659.64/x
  3. Step 3: Cross multiply
    294,525.56x = 406,498.54 × 173,659.64
  4. Step 4: Simplify right side
    294,525.56x = 70,592,390,116.93
  5. Step 5: Solve for x
    x = 70,592,390,116.93/294,525.56
  6. Step 6: Final answer
    x = 239,681.71

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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.