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Finding the Fourth Proportional to 535,656.78, 739,180.98 and 293,934.15

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Solution

The fourth proportional to 535,656.78, 739,180.98 and 293,934.15 is: 405,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,656.78 : 739,180.98 = 293,934.15 : x
  2. Step 2: Convert to fraction form
    535,656.78/739,180.98 = 293,934.15/x
  3. Step 3: Cross multiply
    535,656.78x = 739,180.98 × 293,934.15
  4. Step 4: Simplify right side
    535,656.78x = 217,270,533,052.47
  5. Step 5: Solve for x
    x = 217,270,533,052.47/535,656.78
  6. Step 6: Final answer
    x = 405,615.20

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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.