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Finding the Fourth Proportional to 535,347.80, 738,781.02 and 293,632.34

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Solution

The fourth proportional to 535,347.80, 738,781.02 and 293,632.34 is: 405,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,347.80 : 738,781.02 = 293,632.34 : x
  2. Step 2: Convert to fraction form
    535,347.80/738,781.02 = 293,632.34/x
  3. Step 3: Cross multiply
    535,347.80x = 738,781.02 × 293,632.34
  4. Step 4: Simplify right side
    535,347.80x = 216,929,999,650.19
  5. Step 5: Solve for x
    x = 216,929,999,650.19/535,347.80
  6. Step 6: Final answer
    x = 405,213.21

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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.