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Finding the Fourth Proportional to 413,971.35, 619,719.33 and 253,542.14

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Solution

The fourth proportional to 413,971.35, 619,719.33 and 253,542.14 is: 379,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,971.35 : 619,719.33 = 253,542.14 : x
  2. Step 2: Convert to fraction form
    413,971.35/619,719.33 = 253,542.14/x
  3. Step 3: Cross multiply
    413,971.35x = 619,719.33 × 253,542.14
  4. Step 4: Simplify right side
    413,971.35x = 157,124,965,127.57
  5. Step 5: Solve for x
    x = 157,124,965,127.57/413,971.35
  6. Step 6: Final answer
    x = 379,555.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.