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Finding the Fourth Proportional to 420,900.38, 581,033.70 and 268,148.02

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Solution

The fourth proportional to 420,900.38, 581,033.70 and 268,148.02 is: 370,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,900.38 : 581,033.70 = 268,148.02 : x
  2. Step 2: Convert to fraction form
    420,900.38/581,033.70 = 268,148.02/x
  3. Step 3: Cross multiply
    420,900.38x = 581,033.70 × 268,148.02
  4. Step 4: Simplify right side
    420,900.38x = 155,803,034,755.69
  5. Step 5: Solve for x
    x = 155,803,034,755.69/420,900.38
  6. Step 6: Final answer
    x = 370,166.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.