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Finding the Fourth Proportional to 509,215.48, 702,639.32 and 294,314.12

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Solution

The fourth proportional to 509,215.48, 702,639.32 and 294,314.12 is: 406,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,215.48 : 702,639.32 = 294,314.12 : x
  2. Step 2: Convert to fraction form
    509,215.48/702,639.32 = 294,314.12/x
  3. Step 3: Cross multiply
    509,215.48x = 702,639.32 × 294,314.12
  4. Step 4: Simplify right side
    509,215.48x = 206,796,673,143.20
  5. Step 5: Solve for x
    x = 206,796,673,143.20/509,215.48
  6. Step 6: Final answer
    x = 406,108.38

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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.