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Finding the Fourth Proportional to 535,398.24, 738,859.38 and 293,693.16

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Solution

The fourth proportional to 535,398.24, 738,859.38 and 293,693.16 is: 405,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,398.24 : 738,859.38 = 293,693.16 : x
  2. Step 2: Convert to fraction form
    535,398.24/738,859.38 = 293,693.16/x
  3. Step 3: Cross multiply
    535,398.24x = 738,859.38 × 293,693.16
  4. Step 4: Simplify right side
    535,398.24x = 216,997,946,107.84
  5. Step 5: Solve for x
    x = 216,997,946,107.84/535,398.24
  6. Step 6: Final answer
    x = 405,301.94

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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.