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Finding the Fourth Proportional to 427,882.85, 590,437.44 and 255,766.64

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Solution

The fourth proportional to 427,882.85, 590,437.44 and 255,766.64 is: 352,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,882.85 : 590,437.44 = 255,766.64 : x
  2. Step 2: Convert to fraction form
    427,882.85/590,437.44 = 255,766.64/x
  3. Step 3: Cross multiply
    427,882.85x = 590,437.44 × 255,766.64
  4. Step 4: Simplify right side
    427,882.85x = 151,014,197,206.81
  5. Step 5: Solve for x
    x = 151,014,197,206.81/427,882.85
  6. Step 6: Final answer
    x = 352,933.52

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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.