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Finding the Fourth Proportional to 508,085.22, 701,133.87 and 293,294.49

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Solution

The fourth proportional to 508,085.22, 701,133.87 and 293,294.49 is: 404,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,085.22 : 701,133.87 = 293,294.49 : x
  2. Step 2: Convert to fraction form
    508,085.22/701,133.87 = 293,294.49/x
  3. Step 3: Cross multiply
    508,085.22x = 701,133.87 × 293,294.49
  4. Step 4: Simplify right side
    508,085.22x = 205,638,700,823.38
  5. Step 5: Solve for x
    x = 205,638,700,823.38/508,085.22
  6. Step 6: Final answer
    x = 404,732.70

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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.