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Finding the Fourth Proportional to 238,405.68, 357,695.73 and 224,321.40

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Solution

The fourth proportional to 238,405.68, 357,695.73 and 224,321.40 is: 336,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,405.68 : 357,695.73 = 224,321.40 : x
  2. Step 2: Convert to fraction form
    238,405.68/357,695.73 = 224,321.40/x
  3. Step 3: Cross multiply
    238,405.68x = 357,695.73 × 224,321.40
  4. Step 4: Simplify right side
    238,405.68x = 80,238,806,927.62
  5. Step 5: Solve for x
    x = 80,238,806,927.62/238,405.68
  6. Step 6: Final answer
    x = 336,564.16

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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.