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Finding the Fourth Proportional to 705,816, 974,026.08 and 387,864

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Solution

The fourth proportional to 705,816, 974,026.08 and 387,864 is: 535,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,816 : 974,026.08 = 387,864 : x
  2. Step 2: Convert to fraction form
    705,816/974,026.08 = 387,864/x
  3. Step 3: Cross multiply
    705,816x = 974,026.08 × 387,864
  4. Step 4: Simplify right side
    705,816x = 377,789,651,493.12
  5. Step 5: Solve for x
    x = 377,789,651,493.12/705,816
  6. Step 6: Final answer
    x = 535,252.32

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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.