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Finding the Fourth Proportional to 706,586.20, 991,709 and 706,586.20

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Solution

The fourth proportional to 706,586.20, 991,709 and 706,586.20 is: 991,709

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,586.20 : 991,709 = 706,586.20 : x
  2. Step 2: Convert to fraction form
    706,586.20/991,709 = 706,586.20/x
  3. Step 3: Cross multiply
    706,586.20x = 991,709 × 706,586.20
  4. Step 4: Simplify right side
    706,586.20x = 700,727,893,815.80
  5. Step 5: Solve for x
    x = 700,727,893,815.80/706,586.20
  6. Step 6: Final answer
    x = 991,709

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.