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Finding the Fourth Proportional to 474,033.40, 709,898.10 and 251,927.80

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Solution

The fourth proportional to 474,033.40, 709,898.10 and 251,927.80 is: 377,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,033.40 : 709,898.10 = 251,927.80 : x
  2. Step 2: Convert to fraction form
    474,033.40/709,898.10 = 251,927.80/x
  3. Step 3: Cross multiply
    474,033.40x = 709,898.10 × 251,927.80
  4. Step 4: Simplify right side
    474,033.40x = 178,843,066,557.18
  5. Step 5: Solve for x
    x = 178,843,066,557.18/474,033.40
  6. Step 6: Final answer
    x = 377,279.46

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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.