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Finding the Fourth Proportional to 362,301.30, 542,415.15 and 320,829.30

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Solution

The fourth proportional to 362,301.30, 542,415.15 and 320,829.30 is: 480,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,301.30 : 542,415.15 = 320,829.30 : x
  2. Step 2: Convert to fraction form
    362,301.30/542,415.15 = 320,829.30/x
  3. Step 3: Cross multiply
    362,301.30x = 542,415.15 × 320,829.30
  4. Step 4: Simplify right side
    362,301.30x = 174,022,672,883.90
  5. Step 5: Solve for x
    x = 174,022,672,883.90/362,301.30
  6. Step 6: Final answer
    x = 480,325.83

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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.