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Finding the Fourth Proportional to 456,305.94, 681,116.76 and 402,438.42

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Solution

The fourth proportional to 456,305.94, 681,116.76 and 402,438.42 is: 600,710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,305.94 : 681,116.76 = 402,438.42 : x
  2. Step 2: Convert to fraction form
    456,305.94/681,116.76 = 402,438.42/x
  3. Step 3: Cross multiply
    456,305.94x = 681,116.76 × 402,438.42
  4. Step 4: Simplify right side
    456,305.94x = 274,107,552,729.92
  5. Step 5: Solve for x
    x = 274,107,552,729.92/456,305.94
  6. Step 6: Final answer
    x = 600,710.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.