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Finding the Fourth Proportional to 405,713.90, 559,749.20 and 233,628.16

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Solution

The fourth proportional to 405,713.90, 559,749.20 and 233,628.16 is: 322,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,713.90 : 559,749.20 = 233,628.16 : x
  2. Step 2: Convert to fraction form
    405,713.90/559,749.20 = 233,628.16/x
  3. Step 3: Cross multiply
    405,713.90x = 559,749.20 × 233,628.16
  4. Step 4: Simplify right side
    405,713.90x = 130,773,171,690.59
  5. Step 5: Solve for x
    x = 130,773,171,690.59/405,713.90
  6. Step 6: Final answer
    x = 322,328.55

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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.