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Finding the Fourth Proportional to 405,852.38, 560,028.30 and 224,540.36

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Solution

The fourth proportional to 405,852.38, 560,028.30 and 224,540.36 is: 309,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,852.38 : 560,028.30 = 224,540.36 : x
  2. Step 2: Convert to fraction form
    405,852.38/560,028.30 = 224,540.36/x
  3. Step 3: Cross multiply
    405,852.38x = 560,028.30 × 224,540.36
  4. Step 4: Simplify right side
    405,852.38x = 125,748,956,092.19
  5. Step 5: Solve for x
    x = 125,748,956,092.19/405,852.38
  6. Step 6: Final answer
    x = 309,839.15

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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.