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Finding the Fourth Proportional to 696,948, 961,639.92 and 410,363.52

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Solution

The fourth proportional to 696,948, 961,639.92 and 410,363.52 is: 566,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,948 : 961,639.92 = 410,363.52 : x
  2. Step 2: Convert to fraction form
    696,948/961,639.92 = 410,363.52/x
  3. Step 3: Cross multiply
    696,948x = 961,639.92 × 410,363.52
  4. Step 4: Simplify right side
    696,948x = 394,621,942,543.72
  5. Step 5: Solve for x
    x = 394,621,942,543.72/696,948
  6. Step 6: Final answer
    x = 566,214.33

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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.