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Finding the Fourth Proportional to 405,416.58, 559,471.23 and 224,133.12

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Solution

The fourth proportional to 405,416.58, 559,471.23 and 224,133.12 is: 309,301.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,416.58 : 559,471.23 = 224,133.12 : x
  2. Step 2: Convert to fraction form
    405,416.58/559,471.23 = 224,133.12/x
  3. Step 3: Cross multiply
    405,416.58x = 559,471.23 × 224,133.12
  4. Step 4: Simplify right side
    405,416.58x = 125,396,032,330.14
  5. Step 5: Solve for x
    x = 125,396,032,330.14/405,416.58
  6. Step 6: Final answer
    x = 309,301.69

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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.