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Finding the Fourth Proportional to 535,356.30, 738,792.75 and 293,640.84

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Solution

The fourth proportional to 535,356.30, 738,792.75 and 293,640.84 is: 405,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,356.30 : 738,792.75 = 293,640.84 : x
  2. Step 2: Convert to fraction form
    535,356.30/738,792.75 = 293,640.84/x
  3. Step 3: Cross multiply
    535,356.30x = 738,792.75 × 293,640.84
  4. Step 4: Simplify right side
    535,356.30x = 216,939,723,695.91
  5. Step 5: Solve for x
    x = 216,939,723,695.91/535,356.30
  6. Step 6: Final answer
    x = 405,224.94

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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.