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Finding the Fourth Proportional to 442,073.19, 663,213.47 and 175,848.87

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Solution

The fourth proportional to 442,073.19, 663,213.47 and 175,848.87 is: 263,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,073.19 : 663,213.47 = 175,848.87 : x
  2. Step 2: Convert to fraction form
    442,073.19/663,213.47 = 175,848.87/x
  3. Step 3: Cross multiply
    442,073.19x = 663,213.47 × 175,848.87
  4. Step 4: Simplify right side
    442,073.19x = 116,625,342,194.95
  5. Step 5: Solve for x
    x = 116,625,342,194.95/442,073.19
  6. Step 6: Final answer
    x = 263,814.55

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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.