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Finding the Fourth Proportional to 405,906.18, 560,142.14 and 224,618.00

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Solution

The fourth proportional to 405,906.18, 560,142.14 and 224,618.00 is: 309,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,906.18 : 560,142.14 = 224,618.00 : x
  2. Step 2: Convert to fraction form
    405,906.18/560,142.14 = 224,618.00/x
  3. Step 3: Cross multiply
    405,906.18x = 560,142.14 × 224,618.00
  4. Step 4: Simplify right side
    405,906.18x = 125,818,003,278.72
  5. Step 5: Solve for x
    x = 125,818,003,278.72/405,906.18
  6. Step 6: Final answer
    x = 309,968.19

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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.