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Finding the Fourth Proportional to 353,024.34, 487,171.30 and 202,150.50

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Solution

The fourth proportional to 353,024.34, 487,171.30 and 202,150.50 is: 278,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,024.34 : 487,171.30 = 202,150.50 : x
  2. Step 2: Convert to fraction form
    353,024.34/487,171.30 = 202,150.50/x
  3. Step 3: Cross multiply
    353,024.34x = 487,171.30 × 202,150.50
  4. Step 4: Simplify right side
    353,024.34x = 98,481,921,880.65
  5. Step 5: Solve for x
    x = 98,481,921,880.65/353,024.34
  6. Step 6: Final answer
    x = 278,966.38

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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.