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Finding the Fourth Proportional to 405,295.51, 559,336.74 and 224,003.54

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Solution

The fourth proportional to 405,295.51, 559,336.74 and 224,003.54 is: 309,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,295.51 : 559,336.74 = 224,003.54 : x
  2. Step 2: Convert to fraction form
    405,295.51/559,336.74 = 224,003.54/x
  3. Step 3: Cross multiply
    405,295.51x = 559,336.74 × 224,003.54
  4. Step 4: Simplify right side
    405,295.51x = 125,293,409,812.06
  5. Step 5: Solve for x
    x = 125,293,409,812.06/405,295.51
  6. Step 6: Final answer
    x = 309,140.88

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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.