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Finding the Fourth Proportional to 540,735.22, 746,219.46 and 299,034.16

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Solution

The fourth proportional to 540,735.22, 746,219.46 and 299,034.16 is: 412,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,735.22 : 746,219.46 = 299,034.16 : x
  2. Step 2: Convert to fraction form
    540,735.22/746,219.46 = 299,034.16/x
  3. Step 3: Cross multiply
    540,735.22x = 746,219.46 × 299,034.16
  4. Step 4: Simplify right side
    540,735.22x = 223,145,109,396.75
  5. Step 5: Solve for x
    x = 223,145,109,396.75/540,735.22
  6. Step 6: Final answer
    x = 412,669.83

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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.