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Finding the Fourth Proportional to 474,235.13, 654,504.27 and 311,028.86

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Solution

The fourth proportional to 474,235.13, 654,504.27 and 311,028.86 is: 429,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,235.13 : 654,504.27 = 311,028.86 : x
  2. Step 2: Convert to fraction form
    474,235.13/654,504.27 = 311,028.86/x
  3. Step 3: Cross multiply
    474,235.13x = 654,504.27 × 311,028.86
  4. Step 4: Simplify right side
    474,235.13x = 203,569,716,963.23
  5. Step 5: Solve for x
    x = 203,569,716,963.23/474,235.13
  6. Step 6: Final answer
    x = 429,259.04

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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.