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Finding the Fourth Proportional to 469,880.65, 648,437.70 and 276,277.42

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Solution

The fourth proportional to 469,880.65, 648,437.70 and 276,277.42 is: 381,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,880.65 : 648,437.70 = 276,277.42 : x
  2. Step 2: Convert to fraction form
    469,880.65/648,437.70 = 276,277.42/x
  3. Step 3: Cross multiply
    469,880.65x = 648,437.70 × 276,277.42
  4. Step 4: Simplify right side
    469,880.65x = 179,148,694,786.73
  5. Step 5: Solve for x
    x = 179,148,694,786.73/469,880.65
  6. Step 6: Final answer
    x = 381,264.25

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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.