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Finding the Fourth Proportional to 442,441, 663,663.93 and 110,017

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Solution

The fourth proportional to 442,441, 663,663.93 and 110,017 is: 165,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,441 : 663,663.93 = 110,017 : x
  2. Step 2: Convert to fraction form
    442,441/663,663.93 = 110,017/x
  3. Step 3: Cross multiply
    442,441x = 663,663.93 × 110,017
  4. Step 4: Simplify right side
    442,441x = 73,014,314,586.81
  5. Step 5: Solve for x
    x = 73,014,314,586.81/442,441
  6. Step 6: Final answer
    x = 165,026.10

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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.