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Finding the Fourth Proportional to 405,362.06, 559,342.58 and 233,214.63

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Solution

The fourth proportional to 405,362.06, 559,342.58 and 233,214.63 is: 321,803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,362.06 : 559,342.58 = 233,214.63 : x
  2. Step 2: Convert to fraction form
    405,362.06/559,342.58 = 233,214.63/x
  3. Step 3: Cross multiply
    405,362.06x = 559,342.58 × 233,214.63
  4. Step 4: Simplify right side
    405,362.06x = 130,446,872,837.95
  5. Step 5: Solve for x
    x = 130,446,872,837.95/405,362.06
  6. Step 6: Final answer
    x = 321,803.36

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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.