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Finding the Fourth Proportional to 308,580.84, 462,463.83 and 166,075.92

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Solution

The fourth proportional to 308,580.84, 462,463.83 and 166,075.92 is: 248,894.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,580.84 : 462,463.83 = 166,075.92 : x
  2. Step 2: Convert to fraction form
    308,580.84/462,463.83 = 166,075.92/x
  3. Step 3: Cross multiply
    308,580.84x = 462,463.83 × 166,075.92
  4. Step 4: Simplify right side
    308,580.84x = 76,804,106,033.97
  5. Step 5: Solve for x
    x = 76,804,106,033.97/308,580.84
  6. Step 6: Final answer
    x = 248,894.60

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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.