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Finding the Fourth Proportional to 377,807.69, 566,252.27 and 177,894.02

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Solution

The fourth proportional to 377,807.69, 566,252.27 and 177,894.02 is: 266,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,807.69 : 566,252.27 = 177,894.02 : x
  2. Step 2: Convert to fraction form
    377,807.69/566,252.27 = 177,894.02/x
  3. Step 3: Cross multiply
    377,807.69x = 566,252.27 × 177,894.02
  4. Step 4: Simplify right side
    377,807.69x = 100,732,893,837.69
  5. Step 5: Solve for x
    x = 100,732,893,837.69/377,807.69
  6. Step 6: Final answer
    x = 266,624.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.