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Finding the Fourth Proportional to 294,745.86, 406,731.42 and 173,925

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Solution

The fourth proportional to 294,745.86, 406,731.42 and 173,925 is: 240,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,745.86 : 406,731.42 = 173,925 : x
  2. Step 2: Convert to fraction form
    294,745.86/406,731.42 = 173,925/x
  3. Step 3: Cross multiply
    294,745.86x = 406,731.42 × 173,925
  4. Step 4: Simplify right side
    294,745.86x = 70,740,762,223.50
  5. Step 5: Solve for x
    x = 70,740,762,223.50/294,745.86
  6. Step 6: Final answer
    x = 240,005.96

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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.