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Finding the Fourth Proportional to 442,333.84, 663,501.24 and 109,909.84

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Solution

The fourth proportional to 442,333.84, 663,501.24 and 109,909.84 is: 164,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,333.84 : 663,501.24 = 109,909.84 : x
  2. Step 2: Convert to fraction form
    442,333.84/663,501.24 = 109,909.84/x
  3. Step 3: Cross multiply
    442,333.84x = 663,501.24 × 109,909.84
  4. Step 4: Simplify right side
    442,333.84x = 72,925,315,128.20
  5. Step 5: Solve for x
    x = 72,925,315,128.20/442,333.84
  6. Step 6: Final answer
    x = 164,864.88

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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.