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Finding the Fourth Proportional to 508,696.38, 702,034.14 and 293,845.50

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Solution

The fourth proportional to 508,696.38, 702,034.14 and 293,845.50 is: 405,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,696.38 : 702,034.14 = 293,845.50 : x
  2. Step 2: Convert to fraction form
    508,696.38/702,034.14 = 293,845.50/x
  3. Step 3: Cross multiply
    508,696.38x = 702,034.14 × 293,845.50
  4. Step 4: Simplify right side
    508,696.38x = 206,289,572,885.37
  5. Step 5: Solve for x
    x = 206,289,572,885.37/508,696.38
  6. Step 6: Final answer
    x = 405,525.93

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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.