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Finding the Fourth Proportional to 474,429.75, 654,693.80 and 283,548.39

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Solution

The fourth proportional to 474,429.75, 654,693.80 and 283,548.39 is: 391,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,429.75 : 654,693.80 = 283,548.39 : x
  2. Step 2: Convert to fraction form
    474,429.75/654,693.80 = 283,548.39/x
  3. Step 3: Cross multiply
    474,429.75x = 654,693.80 × 283,548.39
  4. Step 4: Simplify right side
    474,429.75x = 185,637,372,932.98
  5. Step 5: Solve for x
    x = 185,637,372,932.98/474,429.75
  6. Step 6: Final answer
    x = 391,285.27

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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.