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Finding the Fourth Proportional to 377,146.72, 520,388 and 211,580.24

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Solution

The fourth proportional to 377,146.72, 520,388 and 211,580.24 is: 291,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,146.72 : 520,388 = 211,580.24 : x
  2. Step 2: Convert to fraction form
    377,146.72/520,388 = 211,580.24/x
  3. Step 3: Cross multiply
    377,146.72x = 520,388 × 211,580.24
  4. Step 4: Simplify right side
    377,146.72x = 110,103,817,933.12
  5. Step 5: Solve for x
    x = 110,103,817,933.12/377,146.72
  6. Step 6: Final answer
    x = 291,938.95

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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.