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Finding the Fourth Proportional to 294,742.95, 406,745.40 and 173,884.47

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Solution

The fourth proportional to 294,742.95, 406,745.40 and 173,884.47 is: 239,960.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,742.95 : 406,745.40 = 173,884.47 : x
  2. Step 2: Convert to fraction form
    294,742.95/406,745.40 = 173,884.47/x
  3. Step 3: Cross multiply
    294,742.95x = 406,745.40 × 173,884.47
  4. Step 4: Simplify right side
    294,742.95x = 70,726,708,303.94
  5. Step 5: Solve for x
    x = 70,726,708,303.94/294,742.95
  6. Step 6: Final answer
    x = 239,960.64

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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.