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Finding the Fourth Proportional to 650,444.80, 973,826.88 and 413,199.04

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Solution

The fourth proportional to 650,444.80, 973,826.88 and 413,199.04 is: 618,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,444.80 : 973,826.88 = 413,199.04 : x
  2. Step 2: Convert to fraction form
    650,444.80/973,826.88 = 413,199.04/x
  3. Step 3: Cross multiply
    650,444.80x = 973,826.88 × 413,199.04
  4. Step 4: Simplify right side
    650,444.80x = 402,384,331,942.20
  5. Step 5: Solve for x
    x = 402,384,331,942.20/650,444.80
  6. Step 6: Final answer
    x = 618,629.49

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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.