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Finding the Fourth Proportional to 610,834.76, 842,923.41 and 338,899.76

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Solution

The fourth proportional to 610,834.76, 842,923.41 and 338,899.76 is: 467,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,834.76 : 842,923.41 = 338,899.76 : x
  2. Step 2: Convert to fraction form
    610,834.76/842,923.41 = 338,899.76/x
  3. Step 3: Cross multiply
    610,834.76x = 842,923.41 × 338,899.76
  4. Step 4: Simplify right side
    610,834.76x = 285,666,541,347.38
  5. Step 5: Solve for x
    x = 285,666,541,347.38/610,834.76
  6. Step 6: Final answer
    x = 467,665.82

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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.