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Finding the Fourth Proportional to 405,718.40, 608,635.20 and 125,206.40

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Solution

The fourth proportional to 405,718.40, 608,635.20 and 125,206.40 is: 187,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,718.40 : 608,635.20 = 125,206.40 : x
  2. Step 2: Convert to fraction form
    405,718.40/608,635.20 = 125,206.40/x
  3. Step 3: Cross multiply
    405,718.40x = 608,635.20 × 125,206.40
  4. Step 4: Simplify right side
    405,718.40x = 76,205,022,305.28
  5. Step 5: Solve for x
    x = 76,205,022,305.28/405,718.40
  6. Step 6: Final answer
    x = 187,827.38

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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.