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Finding the Fourth Proportional to 508,083.23, 701,104.21 and 293,292.50

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Solution

The fourth proportional to 508,083.23, 701,104.21 and 293,292.50 is: 404,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,083.23 : 701,104.21 = 293,292.50 : x
  2. Step 2: Convert to fraction form
    508,083.23/701,104.21 = 293,292.50/x
  3. Step 3: Cross multiply
    508,083.23x = 701,104.21 × 293,292.50
  4. Step 4: Simplify right side
    508,083.23x = 205,628,602,272.67
  5. Step 5: Solve for x
    x = 205,628,602,272.67/508,083.23
  6. Step 6: Final answer
    x = 404,714.40

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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.