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Finding the Fourth Proportional to 750,834.38, 1,036,151.63 and 411,314.70

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Solution

The fourth proportional to 750,834.38, 1,036,151.63 and 411,314.70 is: 567,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,834.38 : 1,036,151.63 = 411,314.70 : x
  2. Step 2: Convert to fraction form
    750,834.38/1,036,151.63 = 411,314.70/x
  3. Step 3: Cross multiply
    750,834.38x = 1,036,151.63 × 411,314.70
  4. Step 4: Simplify right side
    750,834.38x = 426,184,396,847.96
  5. Step 5: Solve for x
    x = 426,184,396,847.96/750,834.38
  6. Step 6: Final answer
    x = 567,614.39

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Why These Related Problems?

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