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Finding the Fourth Proportional to 712,735.84, 983,202.60 and 440,716.76

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Solution

The fourth proportional to 712,735.84, 983,202.60 and 440,716.76 is: 607,958.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,735.84 : 983,202.60 = 440,716.76 : x
  2. Step 2: Convert to fraction form
    712,735.84/983,202.60 = 440,716.76/x
  3. Step 3: Cross multiply
    712,735.84x = 983,202.60 × 440,716.76
  4. Step 4: Simplify right side
    712,735.84x = 433,313,864,295.58
  5. Step 5: Solve for x
    x = 433,313,864,295.58/712,735.84
  6. Step 6: Final answer
    x = 607,958.57

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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.