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Finding the Fourth Proportional to 647,266.68, 970,013.34 and 410,775.30

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Solution

The fourth proportional to 647,266.68, 970,013.34 and 410,775.30 is: 615,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,266.68 : 970,013.34 = 410,775.30 : x
  2. Step 2: Convert to fraction form
    647,266.68/970,013.34 = 410,775.30/x
  3. Step 3: Cross multiply
    647,266.68x = 970,013.34 × 410,775.30
  4. Step 4: Simplify right side
    647,266.68x = 398,457,520,742.50
  5. Step 5: Solve for x
    x = 398,457,520,742.50/647,266.68
  6. Step 6: Final answer
    x = 615,600.24

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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.