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Finding the Fourth Proportional to 405,970.25, 560,234.81 and 224,682.53

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Solution

The fourth proportional to 405,970.25, 560,234.81 and 224,682.53 is: 310,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,970.25 : 560,234.81 = 224,682.53 : x
  2. Step 2: Convert to fraction form
    405,970.25/560,234.81 = 224,682.53/x
  3. Step 3: Cross multiply
    405,970.25x = 560,234.81 × 224,682.53
  4. Step 4: Simplify right side
    405,970.25x = 125,874,972,265.40
  5. Step 5: Solve for x
    x = 125,874,972,265.40/405,970.25
  6. Step 6: Final answer
    x = 310,059.60

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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.