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Finding the Fourth Proportional to 405,460.35, 559,512.68 and 224,161.70

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Solution

The fourth proportional to 405,460.35, 559,512.68 and 224,161.70 is: 309,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,460.35 : 559,512.68 = 224,161.70 : x
  2. Step 2: Convert to fraction form
    405,460.35/559,512.68 = 224,161.70/x
  3. Step 3: Cross multiply
    405,460.35x = 559,512.68 × 224,161.70
  4. Step 4: Simplify right side
    405,460.35x = 125,421,309,601.98
  5. Step 5: Solve for x
    x = 125,421,309,601.98/405,460.35
  6. Step 6: Final answer
    x = 309,330.64

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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.