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Finding the Fourth Proportional to 405,967.87, 560,231.54 and 224,680.15

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Solution

The fourth proportional to 405,967.87, 560,231.54 and 224,680.15 is: 310,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,967.87 : 560,231.54 = 224,680.15 : x
  2. Step 2: Convert to fraction form
    405,967.87/560,231.54 = 224,680.15/x
  3. Step 3: Cross multiply
    405,967.87x = 560,231.54 × 224,680.15
  4. Step 4: Simplify right side
    405,967.87x = 125,872,905,318.53
  5. Step 5: Solve for x
    x = 125,872,905,318.53/405,967.87
  6. Step 6: Final answer
    x = 310,056.32

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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.