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Finding the Fourth Proportional to 405,923.16, 560,175.05 and 224,647.59

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Solution

The fourth proportional to 405,923.16, 560,175.05 and 224,647.59 is: 310,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,923.16 : 560,175.05 = 224,647.59 : x
  2. Step 2: Convert to fraction form
    405,923.16/560,175.05 = 224,647.59/x
  3. Step 3: Cross multiply
    405,923.16x = 560,175.05 × 224,647.59
  4. Step 4: Simplify right side
    405,923.16x = 125,841,972,998.57
  5. Step 5: Solve for x
    x = 125,841,972,998.57/405,923.16
  6. Step 6: Final answer
    x = 310,014.27

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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.