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Finding the Fourth Proportional to 400,932.52, 601,314.13 and 238,898.40

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Solution

The fourth proportional to 400,932.52, 601,314.13 and 238,898.40 is: 358,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,932.52 : 601,314.13 = 238,898.40 : x
  2. Step 2: Convert to fraction form
    400,932.52/601,314.13 = 238,898.40/x
  3. Step 3: Cross multiply
    400,932.52x = 601,314.13 × 238,898.40
  4. Step 4: Simplify right side
    400,932.52x = 143,652,981,598.09
  5. Step 5: Solve for x
    x = 143,652,981,598.09/400,932.52
  6. Step 6: Final answer
    x = 358,297.16

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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.