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Finding the Fourth Proportional to 696,448, 961,098.24 and 413,824

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Solution

The fourth proportional to 696,448, 961,098.24 and 413,824 is: 571,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,448 : 961,098.24 = 413,824 : x
  2. Step 2: Convert to fraction form
    696,448/961,098.24 = 413,824/x
  3. Step 3: Cross multiply
    696,448x = 961,098.24 × 413,824
  4. Step 4: Simplify right side
    696,448x = 397,725,518,069.76
  5. Step 5: Solve for x
    x = 397,725,518,069.76/696,448
  6. Step 6: Final answer
    x = 571,077.12

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