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Finding the Fourth Proportional to 442,409.50, 663,616.68 and 109,985.50

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Solution

The fourth proportional to 442,409.50, 663,616.68 and 109,985.50 is: 164,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,409.50 : 663,616.68 = 109,985.50 : x
  2. Step 2: Convert to fraction form
    442,409.50/663,616.68 = 109,985.50/x
  3. Step 3: Cross multiply
    442,409.50x = 663,616.68 × 109,985.50
  4. Step 4: Simplify right side
    442,409.50x = 72,988,212,358.14
  5. Step 5: Solve for x
    x = 72,988,212,358.14/442,409.50
  6. Step 6: Final answer
    x = 164,978.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.