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Finding the Fourth Proportional to 377,149.56, 520,460.62 and 205,066.14

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Solution

The fourth proportional to 377,149.56, 520,460.62 and 205,066.14 is: 282,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,149.56 : 520,460.62 = 205,066.14 : x
  2. Step 2: Convert to fraction form
    377,149.56/520,460.62 = 205,066.14/x
  3. Step 3: Cross multiply
    377,149.56x = 520,460.62 × 205,066.14
  4. Step 4: Simplify right side
    377,149.56x = 106,728,850,365.41
  5. Step 5: Solve for x
    x = 106,728,850,365.41/377,149.56
  6. Step 6: Final answer
    x = 282,988.13

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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.