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Finding the Fourth Proportional to 377,794.46, 566,335.40 and 188,075.25

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Solution

The fourth proportional to 377,794.46, 566,335.40 and 188,075.25 is: 281,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,794.46 : 566,335.40 = 188,075.25 : x
  2. Step 2: Convert to fraction form
    377,794.46/566,335.40 = 188,075.25/x
  3. Step 3: Cross multiply
    377,794.46x = 566,335.40 × 188,075.25
  4. Step 4: Simplify right side
    377,794.46x = 106,513,670,998.47
  5. Step 5: Solve for x
    x = 106,513,670,998.47/377,794.46
  6. Step 6: Final answer
    x = 281,935.50

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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.