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Finding the Fourth Proportional to 442,473.84, 663,713.10 and 110,049.84

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Solution

The fourth proportional to 442,473.84, 663,713.10 and 110,049.84 is: 165,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,473.84 : 663,713.10 = 110,049.84 : x
  2. Step 2: Convert to fraction form
    442,473.84/663,713.10 = 110,049.84/x
  3. Step 3: Cross multiply
    442,473.84x = 663,713.10 × 110,049.84
  4. Step 4: Simplify right side
    442,473.84x = 73,041,520,460.90
  5. Step 5: Solve for x
    x = 73,041,520,460.90/442,473.84
  6. Step 6: Final answer
    x = 165,075.34

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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.