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Finding the Fourth Proportional to 509,203.38, 702,712.40 and 279,774.98

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Solution

The fourth proportional to 509,203.38, 702,712.40 and 279,774.98 is: 386,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,203.38 : 702,712.40 = 279,774.98 : x
  2. Step 2: Convert to fraction form
    509,203.38/702,712.40 = 279,774.98/x
  3. Step 3: Cross multiply
    509,203.38x = 702,712.40 × 279,774.98
  4. Step 4: Simplify right side
    509,203.38x = 196,601,345,378.49
  5. Step 5: Solve for x
    x = 196,601,345,378.49/509,203.38
  6. Step 6: Final answer
    x = 386,095.92

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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.