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Finding the Fourth Proportional to 713,156.97, 984,011.18 and 422,640.48

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Solution

The fourth proportional to 713,156.97, 984,011.18 and 422,640.48 is: 583,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,156.97 : 984,011.18 = 422,640.48 : x
  2. Step 2: Convert to fraction form
    713,156.97/984,011.18 = 422,640.48/x
  3. Step 3: Cross multiply
    713,156.97x = 984,011.18 × 422,640.48
  4. Step 4: Simplify right side
    713,156.97x = 415,882,955,327.36
  5. Step 5: Solve for x
    x = 415,882,955,327.36/713,156.97
  6. Step 6: Final answer
    x = 583,157.67

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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.