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Finding the Fourth Proportional to 492,537.92, 738,848.82 and 155,488.40

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Solution

The fourth proportional to 492,537.92, 738,848.82 and 155,488.40 is: 233,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,537.92 : 738,848.82 = 155,488.40 : x
  2. Step 2: Convert to fraction form
    492,537.92/738,848.82 = 155,488.40/x
  3. Step 3: Cross multiply
    492,537.92x = 738,848.82 × 155,488.40
  4. Step 4: Simplify right side
    492,537.92x = 114,882,420,863.69
  5. Step 5: Solve for x
    x = 114,882,420,863.69/492,537.92
  6. Step 6: Final answer
    x = 233,245.84

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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.