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Finding the Fourth Proportional to 451,446.20, 677,169.30 and 402,457.40

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Solution

The fourth proportional to 451,446.20, 677,169.30 and 402,457.40 is: 603,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,446.20 : 677,169.30 = 402,457.40 : x
  2. Step 2: Convert to fraction form
    451,446.20/677,169.30 = 402,457.40/x
  3. Step 3: Cross multiply
    451,446.20x = 677,169.30 × 402,457.40
  4. Step 4: Simplify right side
    451,446.20x = 272,531,795,837.82
  5. Step 5: Solve for x
    x = 272,531,795,837.82/451,446.20
  6. Step 6: Final answer
    x = 603,686.10

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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.