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Finding the Fourth Proportional to 469,807.25, 648,335.71 and 254,947.26

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Solution

The fourth proportional to 469,807.25, 648,335.71 and 254,947.26 is: 351,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,807.25 : 648,335.71 = 254,947.26 : x
  2. Step 2: Convert to fraction form
    469,807.25/648,335.71 = 254,947.26/x
  3. Step 3: Cross multiply
    469,807.25x = 648,335.71 × 254,947.26
  4. Step 4: Simplify right side
    469,807.25x = 165,291,412,824.66
  5. Step 5: Solve for x
    x = 165,291,412,824.66/469,807.25
  6. Step 6: Final answer
    x = 351,828.14

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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.