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Finding the Fourth Proportional to 474,273.71, 654,711.21 and 302,422.02

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Solution

The fourth proportional to 474,273.71, 654,711.21 and 302,422.02 is: 417,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,273.71 : 654,711.21 = 302,422.02 : x
  2. Step 2: Convert to fraction form
    474,273.71/654,711.21 = 302,422.02/x
  3. Step 3: Cross multiply
    474,273.71x = 654,711.21 × 302,422.02
  4. Step 4: Simplify right side
    474,273.71x = 197,999,086,644.84
  5. Step 5: Solve for x
    x = 197,999,086,644.84/474,273.71
  6. Step 6: Final answer
    x = 417,478.52

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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.