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Finding the Fourth Proportional to 301,536.72, 416,174.40 and 225,437.76

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Solution

The fourth proportional to 301,536.72, 416,174.40 and 225,437.76 is: 311,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,536.72 : 416,174.40 = 225,437.76 : x
  2. Step 2: Convert to fraction form
    301,536.72/416,174.40 = 225,437.76/x
  3. Step 3: Cross multiply
    301,536.72x = 416,174.40 × 225,437.76
  4. Step 4: Simplify right side
    301,536.72x = 93,821,424,505.34
  5. Step 5: Solve for x
    x = 93,821,424,505.34/301,536.72
  6. Step 6: Final answer
    x = 311,144.28

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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.