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Finding the Fourth Proportional to 405,354.56, 559,367.44 and 224,055.68

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Solution

The fourth proportional to 405,354.56, 559,367.44 and 224,055.68 is: 309,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,354.56 : 559,367.44 = 224,055.68 : x
  2. Step 2: Convert to fraction form
    405,354.56/559,367.44 = 224,055.68/x
  3. Step 3: Cross multiply
    405,354.56x = 559,367.44 × 224,055.68
  4. Step 4: Simplify right side
    405,354.56x = 125,329,452,139.06
  5. Step 5: Solve for x
    x = 125,329,452,139.06/405,354.56
  6. Step 6: Final answer
    x = 309,184.76

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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.