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Finding the Fourth Proportional to 412,811.40, 619,217.10 and 349,825.80

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Solution

The fourth proportional to 412,811.40, 619,217.10 and 349,825.80 is: 524,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,811.40 : 619,217.10 = 349,825.80 : x
  2. Step 2: Convert to fraction form
    412,811.40/619,217.10 = 349,825.80/x
  3. Step 3: Cross multiply
    412,811.40x = 619,217.10 × 349,825.80
  4. Step 4: Simplify right side
    412,811.40x = 216,618,117,381.18
  5. Step 5: Solve for x
    x = 216,618,117,381.18/412,811.40
  6. Step 6: Final answer
    x = 524,738.70

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1.5x scale

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.