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Finding the Fourth Proportional to 405,005.20, 607,507.80 and 396,257.20

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Solution

The fourth proportional to 405,005.20, 607,507.80 and 396,257.20 is: 594,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,005.20 : 607,507.80 = 396,257.20 : x
  2. Step 2: Convert to fraction form
    405,005.20/607,507.80 = 396,257.20/x
  3. Step 3: Cross multiply
    405,005.20x = 607,507.80 × 396,257.20
  4. Step 4: Simplify right side
    405,005.20x = 240,729,339,806.16
  5. Step 5: Solve for x
    x = 240,729,339,806.16/405,005.20
  6. Step 6: Final answer
    x = 594,385.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.