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Finding the Fourth Proportional to 696,712, 961,470.24 and 378,760

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Solution

The fourth proportional to 696,712, 961,470.24 and 378,760 is: 522,692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,712 : 961,470.24 = 378,760 : x
  2. Step 2: Convert to fraction form
    696,712/961,470.24 = 378,760/x
  3. Step 3: Cross multiply
    696,712x = 961,470.24 × 378,760
  4. Step 4: Simplify right side
    696,712x = 364,166,468,102.40
  5. Step 5: Solve for x
    x = 364,166,468,102.40/696,712
  6. Step 6: Final answer
    x = 522,692.98

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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.