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Finding the Fourth Proportional to 405,733.89, 559,902.64 and 224,455.89

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Solution

The fourth proportional to 405,733.89, 559,902.64 and 224,455.89 is: 309,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,733.89 : 559,902.64 = 224,455.89 : x
  2. Step 2: Convert to fraction form
    405,733.89/559,902.64 = 224,455.89/x
  3. Step 3: Cross multiply
    405,733.89x = 559,902.64 × 224,455.89
  4. Step 4: Simplify right side
    405,733.89x = 125,673,445,374.55
  5. Step 5: Solve for x
    x = 125,673,445,374.55/405,733.89
  6. Step 6: Final answer
    x = 309,743.53

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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.