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Finding the Fourth Proportional to 724,775.82, 1,000,202.64 and 398,119.03

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Solution

The fourth proportional to 724,775.82, 1,000,202.64 and 398,119.03 is: 549,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,775.82 : 1,000,202.64 = 398,119.03 : x
  2. Step 2: Convert to fraction form
    724,775.82/1,000,202.64 = 398,119.03/x
  3. Step 3: Cross multiply
    724,775.82x = 1,000,202.64 × 398,119.03
  4. Step 4: Simplify right side
    724,775.82x = 398,199,703,659.86
  5. Step 5: Solve for x
    x = 398,199,703,659.86/724,775.82
  6. Step 6: Final answer
    x = 549,410.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.