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Finding the Fourth Proportional to 405,424.17, 559,481.58 and 224,140.64

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Solution

The fourth proportional to 405,424.17, 559,481.58 and 224,140.64 is: 309,311.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,424.17 : 559,481.58 = 224,140.64 : x
  2. Step 2: Convert to fraction form
    405,424.17/559,481.58 = 224,140.64/x
  3. Step 3: Cross multiply
    405,424.17x = 559,481.58 × 224,140.64
  4. Step 4: Simplify right side
    405,424.17x = 125,402,556,612.00
  5. Step 5: Solve for x
    x = 125,402,556,612.00/405,424.17
  6. Step 6: Final answer
    x = 309,311.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.