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Finding the Fourth Proportional to 340,440.08, 469,778.28 and 189,551.12

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Solution

The fourth proportional to 340,440.08, 469,778.28 and 189,551.12 is: 261,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,440.08 : 469,778.28 = 189,551.12 : x
  2. Step 2: Convert to fraction form
    340,440.08/469,778.28 = 189,551.12/x
  3. Step 3: Cross multiply
    340,440.08x = 469,778.28 × 189,551.12
  4. Step 4: Simplify right side
    340,440.08x = 89,046,999,125.67
  5. Step 5: Solve for x
    x = 89,046,999,125.67/340,440.08
  6. Step 6: Final answer
    x = 261,564.38

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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.