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Finding the Fourth Proportional to 985,709.89, 1,478,668.67 and 409,267.72

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Solution

The fourth proportional to 985,709.89, 1,478,668.67 and 409,267.72 is: 613,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,709.89 : 1,478,668.67 = 409,267.72 : x
  2. Step 2: Convert to fraction form
    985,709.89/1,478,668.67 = 409,267.72/x
  3. Step 3: Cross multiply
    985,709.89x = 1,478,668.67 × 409,267.72
  4. Step 4: Simplify right side
    985,709.89x = 605,171,356,543.08
  5. Step 5: Solve for x
    x = 605,171,356,543.08/985,709.89
  6. Step 6: Final answer
    x = 613,944.69

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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.