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Finding the Fourth Proportional to 416,814.81, 575,203.32 and 225,828.69

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Solution

The fourth proportional to 416,814.81, 575,203.32 and 225,828.69 is: 311,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,814.81 : 575,203.32 = 225,828.69 : x
  2. Step 2: Convert to fraction form
    416,814.81/575,203.32 = 225,828.69/x
  3. Step 3: Cross multiply
    416,814.81x = 575,203.32 × 225,828.69
  4. Step 4: Simplify right side
    416,814.81x = 129,897,412,239.25
  5. Step 5: Solve for x
    x = 129,897,412,239.25/416,814.81
  6. Step 6: Final answer
    x = 311,642.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.