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Finding the Fourth Proportional to 293,262.90, 439,806.60 and 152,944.98

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Solution

The fourth proportional to 293,262.90, 439,806.60 and 152,944.98 is: 229,371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,262.90 : 439,806.60 = 152,944.98 : x
  2. Step 2: Convert to fraction form
    293,262.90/439,806.60 = 152,944.98/x
  3. Step 3: Cross multiply
    293,262.90x = 439,806.60 × 152,944.98
  4. Step 4: Simplify right side
    293,262.90x = 67,266,211,640.87
  5. Step 5: Solve for x
    x = 67,266,211,640.87/293,262.90
  6. Step 6: Final answer
    x = 229,371.71

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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.