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Finding the Fourth Proportional to 413,970.35, 619,717.84 and 253,541.14

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Solution

The fourth proportional to 413,970.35, 619,717.84 and 253,541.14 is: 379,553.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,970.35 : 619,717.84 = 253,541.14 : x
  2. Step 2: Convert to fraction form
    413,970.35/619,717.84 = 253,541.14/x
  3. Step 3: Cross multiply
    413,970.35x = 619,717.84 × 253,541.14
  4. Step 4: Simplify right side
    413,970.35x = 157,123,965,448.79
  5. Step 5: Solve for x
    x = 157,123,965,448.79/413,970.35
  6. Step 6: Final answer
    x = 379,553.67

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Why These Related Problems?

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