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Finding the Fourth Proportional to 657,566.20, 984,599.70 and 419,620.60

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Solution

The fourth proportional to 657,566.20, 984,599.70 and 419,620.60 is: 628,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,566.20 : 984,599.70 = 419,620.60 : x
  2. Step 2: Convert to fraction form
    657,566.20/984,599.70 = 419,620.60/x
  3. Step 3: Cross multiply
    657,566.20x = 984,599.70 × 419,620.60
  4. Step 4: Simplify right side
    657,566.20x = 413,158,316,873.82
  5. Step 5: Solve for x
    x = 413,158,316,873.82/657,566.20
  6. Step 6: Final answer
    x = 628,314.41

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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.