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Finding the Fourth Proportional to 405,747.65, 559,973.34 and 233,672.06

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Solution

The fourth proportional to 405,747.65, 559,973.34 and 233,672.06 is: 322,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,747.65 : 559,973.34 = 233,672.06 : x
  2. Step 2: Convert to fraction form
    405,747.65/559,973.34 = 233,672.06/x
  3. Step 3: Cross multiply
    405,747.65x = 559,973.34 × 233,672.06
  4. Step 4: Simplify right side
    405,747.65x = 130,850,121,103.01
  5. Step 5: Solve for x
    x = 130,850,121,103.01/405,747.65
  6. Step 6: Final answer
    x = 322,491.39

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