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Finding the Fourth Proportional to 647,551.20, 972,201.60 and 411,355.20

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Solution

The fourth proportional to 647,551.20, 972,201.60 and 411,355.20 is: 617,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,551.20 : 972,201.60 = 411,355.20 : x
  2. Step 2: Convert to fraction form
    647,551.20/972,201.60 = 411,355.20/x
  3. Step 3: Cross multiply
    647,551.20x = 972,201.60 × 411,355.20
  4. Step 4: Simplify right side
    647,551.20x = 399,920,183,608.32
  5. Step 5: Solve for x
    x = 399,920,183,608.32/647,551.20
  6. Step 6: Final answer
    x = 617,588.51

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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.