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Finding the Fourth Proportional to 509,176.38, 702,663.68 and 279,748.46

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Solution

The fourth proportional to 509,176.38, 702,663.68 and 279,748.46 is: 386,053.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,176.38 : 702,663.68 = 279,748.46 : x
  2. Step 2: Convert to fraction form
    509,176.38/702,663.68 = 279,748.46/x
  3. Step 3: Cross multiply
    509,176.38x = 702,663.68 × 279,748.46
  4. Step 4: Simplify right side
    509,176.38x = 196,569,077,465.87
  5. Step 5: Solve for x
    x = 196,569,077,465.87/509,176.38
  6. Step 6: Final answer
    x = 386,053.02

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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.