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Finding the Fourth Proportional to 405,883.34, 559,660.62 and 303,580.95

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Solution

The fourth proportional to 405,883.34, 559,660.62 and 303,580.95 is: 418,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,883.34 : 559,660.62 = 303,580.95 : x
  2. Step 2: Convert to fraction form
    405,883.34/559,660.62 = 303,580.95/x
  3. Step 3: Cross multiply
    405,883.34x = 559,660.62 × 303,580.95
  4. Step 4: Simplify right side
    405,883.34x = 169,902,301,736.89
  5. Step 5: Solve for x
    x = 169,902,301,736.89/405,883.34
  6. Step 6: Final answer
    x = 418,598.86

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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.