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Finding the Fourth Proportional to 405,502.52, 559,544.64 and 224,189.96

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Solution

The fourth proportional to 405,502.52, 559,544.64 and 224,189.96 is: 309,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,502.52 : 559,544.64 = 224,189.96 : x
  2. Step 2: Convert to fraction form
    405,502.52/559,544.64 = 224,189.96/x
  3. Step 3: Cross multiply
    405,502.52x = 559,544.64 × 224,189.96
  4. Step 4: Simplify right side
    405,502.52x = 125,444,290,459.81
  5. Step 5: Solve for x
    x = 125,444,290,459.81/405,502.52
  6. Step 6: Final answer
    x = 309,355.14

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Why These Related Problems?

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