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Finding the Fourth Proportional to 405,502.40, 559,583.34 and 224,209.52

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Solution

The fourth proportional to 405,502.40, 559,583.34 and 224,209.52 is: 309,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,502.40 : 559,583.34 = 224,209.52 : x
  2. Step 2: Convert to fraction form
    405,502.40/559,583.34 = 224,209.52/x
  3. Step 3: Cross multiply
    405,502.40x = 559,583.34 × 224,209.52
  4. Step 4: Simplify right side
    405,502.40x = 125,463,912,061.40
  5. Step 5: Solve for x
    x = 125,463,912,061.40/405,502.40
  6. Step 6: Final answer
    x = 309,403.62

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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.