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Finding the Fourth Proportional to 377,146.56, 520,456.49 and 205,063.14

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Solution

The fourth proportional to 377,146.56, 520,456.49 and 205,063.14 is: 282,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,146.56 : 520,456.49 = 205,063.14 : x
  2. Step 2: Convert to fraction form
    377,146.56/520,456.49 = 205,063.14/x
  3. Step 3: Cross multiply
    377,146.56x = 520,456.49 × 205,063.14
  4. Step 4: Simplify right side
    377,146.56x = 106,726,442,999.18
  5. Step 5: Solve for x
    x = 106,726,442,999.18/377,146.56
  6. Step 6: Final answer
    x = 282,984.01

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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.