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Finding the Fourth Proportional to 405,451.35, 559,526.18 and 224,166.30

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Solution

The fourth proportional to 405,451.35, 559,526.18 and 224,166.30 is: 309,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,451.35 : 559,526.18 = 224,166.30 : x
  2. Step 2: Convert to fraction form
    405,451.35/559,526.18 = 224,166.30/x
  3. Step 3: Cross multiply
    405,451.35x = 559,526.18 × 224,166.30
  4. Step 4: Simplify right side
    405,451.35x = 125,426,915,893.20
  5. Step 5: Solve for x
    x = 125,426,915,893.20/405,451.35
  6. Step 6: Final answer
    x = 309,351.34

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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.