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Finding the Fourth Proportional to 984,523, 1,358,642.46 and 531,814

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Solution

The fourth proportional to 984,523, 1,358,642.46 and 531,814 is: 733,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,523 : 1,358,642.46 = 531,814 : x
  2. Step 2: Convert to fraction form
    984,523/1,358,642.46 = 531,814/x
  3. Step 3: Cross multiply
    984,523x = 1,358,642.46 × 531,814
  4. Step 4: Simplify right side
    984,523x = 722,545,081,222.44
  5. Step 5: Solve for x
    x = 722,545,081,222.44/984,523
  6. Step 6: Final answer
    x = 733,903.71

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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.