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Finding the Fourth Proportional to 705,846, 974,067.48 and 387,894

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Solution

The fourth proportional to 705,846, 974,067.48 and 387,894 is: 535,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,846 : 974,067.48 = 387,894 : x
  2. Step 2: Convert to fraction form
    705,846/974,067.48 = 387,894/x
  3. Step 3: Cross multiply
    705,846x = 974,067.48 × 387,894
  4. Step 4: Simplify right side
    705,846x = 377,834,931,087.12
  5. Step 5: Solve for x
    x = 377,834,931,087.12/705,846
  6. Step 6: Final answer
    x = 535,293.72

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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.