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Finding the Fourth Proportional to 405,346.98, 559,343.97 and 233,205.78

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Solution

The fourth proportional to 405,346.98, 559,343.97 and 233,205.78 is: 321,803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,346.98 : 559,343.97 = 233,205.78 : x
  2. Step 2: Convert to fraction form
    405,346.98/559,343.97 = 233,205.78/x
  3. Step 3: Cross multiply
    405,346.98x = 559,343.97 × 233,205.78
  4. Step 4: Simplify right side
    405,346.98x = 130,442,246,812.15
  5. Step 5: Solve for x
    x = 130,442,246,812.15/405,346.98
  6. Step 6: Final answer
    x = 321,803.92

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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.