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Finding the Fourth Proportional to 416,735.81, 575,098.11 and 225,749.06

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Solution

The fourth proportional to 416,735.81, 575,098.11 and 225,749.06 is: 311,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,735.81 : 575,098.11 = 225,749.06 : x
  2. Step 2: Convert to fraction form
    416,735.81/575,098.11 = 225,749.06/x
  3. Step 3: Cross multiply
    416,735.81x = 575,098.11 × 225,749.06
  4. Step 4: Simplify right side
    416,735.81x = 129,827,854,864.79
  5. Step 5: Solve for x
    x = 129,827,854,864.79/416,735.81
  6. Step 6: Final answer
    x = 311,535.16

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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.