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Finding the Fourth Proportional to 294,525.78, 406,439.74 and 173,672.16

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Solution

The fourth proportional to 294,525.78, 406,439.74 and 173,672.16 is: 239,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,525.78 : 406,439.74 = 173,672.16 : x
  2. Step 2: Convert to fraction form
    294,525.78/406,439.74 = 173,672.16/x
  3. Step 3: Cross multiply
    294,525.78x = 406,439.74 × 173,672.16
  4. Step 4: Simplify right side
    294,525.78x = 70,587,267,555.64
  5. Step 5: Solve for x
    x = 70,587,267,555.64/294,525.78
  6. Step 6: Final answer
    x = 239,664.14

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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.