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Finding the Fourth Proportional to 363,256.78, 501,286.50 and 210,301.46

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Solution

The fourth proportional to 363,256.78, 501,286.50 and 210,301.46 is: 290,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,256.78 : 501,286.50 = 210,301.46 : x
  2. Step 2: Convert to fraction form
    363,256.78/501,286.50 = 210,301.46/x
  3. Step 3: Cross multiply
    363,256.78x = 501,286.50 × 210,301.46
  4. Step 4: Simplify right side
    363,256.78x = 105,421,282,828.29
  5. Step 5: Solve for x
    x = 105,421,282,828.29/363,256.78
  6. Step 6: Final answer
    x = 290,211.47

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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.