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Finding the Fourth Proportional to 405,347.14, 559,434.64 and 233,261.56

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Solution

The fourth proportional to 405,347.14, 559,434.64 and 233,261.56 is: 321,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,347.14 : 559,434.64 = 233,261.56 : x
  2. Step 2: Convert to fraction form
    405,347.14/559,434.64 = 233,261.56/x
  3. Step 3: Cross multiply
    405,347.14x = 559,434.64 × 233,261.56
  4. Step 4: Simplify right side
    405,347.14x = 130,494,594,047.27
  5. Step 5: Solve for x
    x = 130,494,594,047.27/405,347.14
  6. Step 6: Final answer
    x = 321,932.94

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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.