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Finding the Fourth Proportional to 561,989.54, 842,762.42 and 224,967.38

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Solution

The fourth proportional to 561,989.54, 842,762.42 and 224,967.38 is: 337,362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,989.54 : 842,762.42 = 224,967.38 : x
  2. Step 2: Convert to fraction form
    561,989.54/842,762.42 = 224,967.38/x
  3. Step 3: Cross multiply
    561,989.54x = 842,762.42 × 224,967.38
  4. Step 4: Simplify right side
    561,989.54x = 189,594,049,376.05
  5. Step 5: Solve for x
    x = 189,594,049,376.05/561,989.54
  6. Step 6: Final answer
    x = 337,362.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.