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Finding the Fourth Proportional to 706,584.84, 974,708.56 and 491,351.24

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Solution

The fourth proportional to 706,584.84, 974,708.56 and 491,351.24 is: 677,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,584.84 : 974,708.56 = 491,351.24 : x
  2. Step 2: Convert to fraction form
    706,584.84/974,708.56 = 491,351.24/x
  3. Step 3: Cross multiply
    706,584.84x = 974,708.56 × 491,351.24
  4. Step 4: Simplify right side
    706,584.84x = 478,924,259,594.61
  5. Step 5: Solve for x
    x = 478,924,259,594.61/706,584.84
  6. Step 6: Final answer
    x = 677,801.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.