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Finding the Fourth Proportional to 397,276.80, 594,931.05 and 254,903.10

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Solution

The fourth proportional to 397,276.80, 594,931.05 and 254,903.10 is: 381,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,276.80 : 594,931.05 = 254,903.10 : x
  2. Step 2: Convert to fraction form
    397,276.80/594,931.05 = 254,903.10/x
  3. Step 3: Cross multiply
    397,276.80x = 594,931.05 × 254,903.10
  4. Step 4: Simplify right side
    397,276.80x = 151,649,768,931.26
  5. Step 5: Solve for x
    x = 151,649,768,931.26/397,276.80
  6. Step 6: Final answer
    x = 381,723.19

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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.