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Finding the Fourth Proportional to 460,215.59, 634,928.94 and 278,796.65

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Solution

The fourth proportional to 460,215.59, 634,928.94 and 278,796.65 is: 384,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,215.59 : 634,928.94 = 278,796.65 : x
  2. Step 2: Convert to fraction form
    460,215.59/634,928.94 = 278,796.65/x
  3. Step 3: Cross multiply
    460,215.59x = 634,928.94 × 278,796.65
  4. Step 4: Simplify right side
    460,215.59x = 177,016,058,285.41
  5. Step 5: Solve for x
    x = 177,016,058,285.41/460,215.59
  6. Step 6: Final answer
    x = 384,637.25

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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.