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Finding the Fourth Proportional to 442,159.44, 663,379.38 and 157,843.74

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Solution

The fourth proportional to 442,159.44, 663,379.38 and 157,843.74 is: 236,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,159.44 : 663,379.38 = 157,843.74 : x
  2. Step 2: Convert to fraction form
    442,159.44/663,379.38 = 157,843.74/x
  3. Step 3: Cross multiply
    442,159.44x = 663,379.38 × 157,843.74
  4. Step 4: Simplify right side
    442,159.44x = 104,710,282,378.08
  5. Step 5: Solve for x
    x = 104,710,282,378.08/442,159.44
  6. Step 6: Final answer
    x = 236,815.67

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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.