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Finding the Fourth Proportional to 416,769.47, 575,141.81 and 225,782.81

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Solution

The fourth proportional to 416,769.47, 575,141.81 and 225,782.81 is: 311,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,769.47 : 575,141.81 = 225,782.81 : x
  2. Step 2: Convert to fraction form
    416,769.47/575,141.81 = 225,782.81/x
  3. Step 3: Cross multiply
    416,769.47x = 575,141.81 × 225,782.81
  4. Step 4: Simplify right side
    416,769.47x = 129,857,130,005.66
  5. Step 5: Solve for x
    x = 129,857,130,005.66/416,769.47
  6. Step 6: Final answer
    x = 311,580.24

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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.