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Finding the Fourth Proportional to 550,753.68, 824,525.86 and 409,226.22

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Solution

The fourth proportional to 550,753.68, 824,525.86 and 409,226.22 is: 612,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,753.68 : 824,525.86 = 409,226.22 : x
  2. Step 2: Convert to fraction form
    550,753.68/824,525.86 = 409,226.22/x
  3. Step 3: Cross multiply
    550,753.68x = 824,525.86 × 409,226.22
  4. Step 4: Simplify right side
    550,753.68x = 337,417,600,980.05
  5. Step 5: Solve for x
    x = 337,417,600,980.05/550,753.68
  6. Step 6: Final answer
    x = 612,647.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.