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Finding the Fourth Proportional to 3,101,684, 4,652,526 and 857,822

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Solution

The fourth proportional to 3,101,684, 4,652,526 and 857,822 is: 1,286,733

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,684 : 4,652,526 = 857,822 : x
  2. Step 2: Convert to fraction form
    3,101,684/4,652,526 = 857,822/x
  3. Step 3: Cross multiply
    3,101,684x = 4,652,526 × 857,822
  4. Step 4: Simplify right side
    3,101,684x = 3,991,039,158,372
  5. Step 5: Solve for x
    x = 3,991,039,158,372/3,101,684
  6. Step 6: Final answer
    x = 1,286,733

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.