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Finding the Fourth Proportional to 442,925.82, 664,317.65 and 158,563.58

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Solution

The fourth proportional to 442,925.82, 664,317.65 and 158,563.58 is: 237,819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,925.82 : 664,317.65 = 158,563.58 : x
  2. Step 2: Convert to fraction form
    442,925.82/664,317.65 = 158,563.58/x
  3. Step 3: Cross multiply
    442,925.82x = 664,317.65 × 158,563.58
  4. Step 4: Simplify right side
    442,925.82x = 105,336,581,916.01
  5. Step 5: Solve for x
    x = 105,336,581,916.01/442,925.82
  6. Step 6: Final answer
    x = 237,819.92

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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.