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Finding the Fourth Proportional to 416,802.02, 575,187.36 and 225,815.41

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Solution

The fourth proportional to 416,802.02, 575,187.36 and 225,815.41 is: 311,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,802.02 : 575,187.36 = 225,815.41 : x
  2. Step 2: Convert to fraction form
    416,802.02/575,187.36 = 225,815.41/x
  3. Step 3: Cross multiply
    416,802.02x = 575,187.36 × 225,815.41
  4. Step 4: Simplify right side
    416,802.02x = 129,886,169,525.22
  5. Step 5: Solve for x
    x = 129,886,169,525.22/416,802.02
  6. Step 6: Final answer
    x = 311,625.58

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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.