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Finding the Fourth Proportional to 333,874.71, 500,228.87 and 278,073.41

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Solution

The fourth proportional to 333,874.71, 500,228.87 and 278,073.41 is: 416,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,874.71 : 500,228.87 = 278,073.41 : x
  2. Step 2: Convert to fraction form
    333,874.71/500,228.87 = 278,073.41/x
  3. Step 3: Cross multiply
    333,874.71x = 500,228.87 × 278,073.41
  4. Step 4: Simplify right side
    333,874.71x = 139,100,343,769.84
  5. Step 5: Solve for x
    x = 139,100,343,769.84/333,874.71
  6. Step 6: Final answer
    x = 416,624.38

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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.