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Finding the Fourth Proportional to 562,022.80, 843,034.20 and 420,305.20

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Solution

The fourth proportional to 562,022.80, 843,034.20 and 420,305.20 is: 630,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,022.80 : 843,034.20 = 420,305.20 : x
  2. Step 2: Convert to fraction form
    562,022.80/843,034.20 = 420,305.20/x
  3. Step 3: Cross multiply
    562,022.80x = 843,034.20 × 420,305.20
  4. Step 4: Simplify right side
    562,022.80x = 354,331,658,037.84
  5. Step 5: Solve for x
    x = 354,331,658,037.84/562,022.80
  6. Step 6: Final answer
    x = 630,457.80

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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.