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Finding the Fourth Proportional to 705,709, 973,878.42 and 387,757

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Solution

The fourth proportional to 705,709, 973,878.42 and 387,757 is: 535,104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,709 : 973,878.42 = 387,757 : x
  2. Step 2: Convert to fraction form
    705,709/973,878.42 = 387,757/x
  3. Step 3: Cross multiply
    705,709x = 973,878.42 × 387,757
  4. Step 4: Simplify right side
    705,709x = 377,628,174,503.94
  5. Step 5: Solve for x
    x = 377,628,174,503.94/705,709
  6. Step 6: Final answer
    x = 535,104.66

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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.