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Finding the Fourth Proportional to 456,577.20, 681,566.22 and 400,590

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Solution

The fourth proportional to 456,577.20, 681,566.22 and 400,590 is: 597,990.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,577.20 : 681,566.22 = 400,590 : x
  2. Step 2: Convert to fraction form
    456,577.20/681,566.22 = 400,590/x
  3. Step 3: Cross multiply
    456,577.20x = 681,566.22 × 400,590
  4. Step 4: Simplify right side
    456,577.20x = 273,028,612,069.80
  5. Step 5: Solve for x
    x = 273,028,612,069.80/456,577.20
  6. Step 6: Final answer
    x = 597,990.03

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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.