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Finding the Fourth Proportional to 405,406.56, 559,509.72 and 235,640.70

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Solution

The fourth proportional to 405,406.56, 559,509.72 and 235,640.70 is: 325,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,406.56 : 559,509.72 = 235,640.70 : x
  2. Step 2: Convert to fraction form
    405,406.56/559,509.72 = 235,640.70/x
  3. Step 3: Cross multiply
    405,406.56x = 559,509.72 × 235,640.70
  4. Step 4: Simplify right side
    405,406.56x = 131,843,262,077.60
  5. Step 5: Solve for x
    x = 131,843,262,077.60/405,406.56
  6. Step 6: Final answer
    x = 325,212.45

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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.