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Finding the Fourth Proportional to 377,135.84, 520,443.80 and 205,053.80

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Solution

The fourth proportional to 377,135.84, 520,443.80 and 205,053.80 is: 282,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,135.84 : 520,443.80 = 205,053.80 : x
  2. Step 2: Convert to fraction form
    377,135.84/520,443.80 = 205,053.80/x
  3. Step 3: Cross multiply
    377,135.84x = 520,443.80 × 205,053.80
  4. Step 4: Simplify right side
    377,135.84x = 106,718,977,200.62
  5. Step 5: Solve for x
    x = 106,718,977,200.62/377,135.84
  6. Step 6: Final answer
    x = 282,972.25

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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.