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Finding the Fourth Proportional to 442,208.70, 663,313.01 and 109,784.70

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Solution

The fourth proportional to 442,208.70, 663,313.01 and 109,784.70 is: 164,677.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,208.70 : 663,313.01 = 109,784.70 : x
  2. Step 2: Convert to fraction form
    442,208.70/663,313.01 = 109,784.70/x
  3. Step 3: Cross multiply
    442,208.70x = 663,313.01 × 109,784.70
  4. Step 4: Simplify right side
    442,208.70x = 72,821,619,260.02
  5. Step 5: Solve for x
    x = 72,821,619,260.02/442,208.70
  6. Step 6: Final answer
    x = 164,677.04

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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.