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Finding the Fourth Proportional to 984,524, 1,358,643.84 and 531,815

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Solution

The fourth proportional to 984,524, 1,358,643.84 and 531,815 is: 733,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,524 : 1,358,643.84 = 531,815 : x
  2. Step 2: Convert to fraction form
    984,524/1,358,643.84 = 531,815/x
  3. Step 3: Cross multiply
    984,524x = 1,358,643.84 × 531,815
  4. Step 4: Simplify right side
    984,524x = 722,547,173,769.60
  5. Step 5: Solve for x
    x = 722,547,173,769.60/984,524
  6. Step 6: Final answer
    x = 733,905.09

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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.