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Finding the Fourth Proportional to 509,031.38, 702,471.74 and 279,609.88

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Solution

The fourth proportional to 509,031.38, 702,471.74 and 279,609.88 is: 385,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,031.38 : 702,471.74 = 279,609.88 : x
  2. Step 2: Convert to fraction form
    509,031.38/702,471.74 = 279,609.88/x
  3. Step 3: Cross multiply
    509,031.38x = 702,471.74 × 279,609.88
  4. Step 4: Simplify right side
    509,031.38x = 196,418,038,924.79
  5. Step 5: Solve for x
    x = 196,418,038,924.79/509,031.38
  6. Step 6: Final answer
    x = 385,866.27

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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.