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Finding the Fourth Proportional to 535,274.26, 738,688.55 and 293,542.38

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Solution

The fourth proportional to 535,274.26, 738,688.55 and 293,542.38 is: 405,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,274.26 : 738,688.55 = 293,542.38 : x
  2. Step 2: Convert to fraction form
    535,274.26/738,688.55 = 293,542.38/x
  3. Step 3: Cross multiply
    535,274.26x = 738,688.55 × 293,542.38
  4. Step 4: Simplify right side
    535,274.26x = 216,836,393,578.04
  5. Step 5: Solve for x
    x = 216,836,393,578.04/535,274.26
  6. Step 6: Final answer
    x = 405,094.01

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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.