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Finding the Fourth Proportional to 564,850.02, 779,493 and 310,201.20

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Solution

The fourth proportional to 564,850.02, 779,493 and 310,201.20 is: 428,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,850.02 : 779,493 = 310,201.20 : x
  2. Step 2: Convert to fraction form
    564,850.02/779,493 = 310,201.20/x
  3. Step 3: Cross multiply
    564,850.02x = 779,493 × 310,201.20
  4. Step 4: Simplify right side
    564,850.02x = 241,799,663,991.60
  5. Step 5: Solve for x
    x = 241,799,663,991.60/564,850.02
  6. Step 6: Final answer
    x = 428,077.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.