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Finding the Fourth Proportional to 508,151, 701,197.98 and 293,360.36

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Solution

The fourth proportional to 508,151, 701,197.98 and 293,360.36 is: 404,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,151 : 701,197.98 = 293,360.36 : x
  2. Step 2: Convert to fraction form
    508,151/701,197.98 = 293,360.36/x
  3. Step 3: Cross multiply
    508,151x = 701,197.98 × 293,360.36
  4. Step 4: Simplify right side
    508,151x = 205,703,691,844.07
  5. Step 5: Solve for x
    x = 205,703,691,844.07/508,151
  6. Step 6: Final answer
    x = 404,808.20

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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.