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Finding the Fourth Proportional to 513,843.40, 770,304.30 and 457,856.20

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Solution

The fourth proportional to 513,843.40, 770,304.30 and 457,856.20 is: 686,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,843.40 : 770,304.30 = 457,856.20 : x
  2. Step 2: Convert to fraction form
    513,843.40/770,304.30 = 457,856.20/x
  3. Step 3: Cross multiply
    513,843.40x = 770,304.30 × 457,856.20
  4. Step 4: Simplify right side
    513,843.40x = 352,688,599,641.66
  5. Step 5: Solve for x
    x = 352,688,599,641.66/513,843.40
  6. Step 6: Final answer
    x = 686,373.71

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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.