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Finding the Fourth Proportional to 508,150, 701,196.60 and 293,359.36

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Solution

The fourth proportional to 508,150, 701,196.60 and 293,359.36 is: 404,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,150 : 701,196.60 = 293,359.36 : x
  2. Step 2: Convert to fraction form
    508,150/701,196.60 = 293,359.36/x
  3. Step 3: Cross multiply
    508,150x = 701,196.60 × 293,359.36
  4. Step 4: Simplify right side
    508,150x = 205,702,585,810.18
  5. Step 5: Solve for x
    x = 205,702,585,810.18/508,150
  6. Step 6: Final answer
    x = 404,806.82

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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.