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Finding the Fourth Proportional to 647,588.20, 969,632.70 and 507,620.20

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Solution

The fourth proportional to 647,588.20, 969,632.70 and 507,620.20 is: 760,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,588.20 : 969,632.70 = 507,620.20 : x
  2. Step 2: Convert to fraction form
    647,588.20/969,632.70 = 507,620.20/x
  3. Step 3: Cross multiply
    647,588.20x = 969,632.70 × 507,620.20
  4. Step 4: Simplify right side
    647,588.20x = 492,205,145,100.54
  5. Step 5: Solve for x
    x = 492,205,145,100.54/647,588.20
  6. Step 6: Final answer
    x = 760,058.85

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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.