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Finding the Fourth Proportional to 362,830.16, 543,728.37 and 267,309.14

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Solution

The fourth proportional to 362,830.16, 543,728.37 and 267,309.14 is: 400,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,830.16 : 543,728.37 = 267,309.14 : x
  2. Step 2: Convert to fraction form
    362,830.16/543,728.37 = 267,309.14/x
  3. Step 3: Cross multiply
    362,830.16x = 543,728.37 × 267,309.14
  4. Step 4: Simplify right side
    362,830.16x = 145,343,560,259.66
  5. Step 5: Solve for x
    x = 145,343,560,259.66/362,830.16
  6. Step 6: Final answer
    x = 400,582.91

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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.