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Finding the Fourth Proportional to 538,497.38, 743,253.02 and 334,702.22

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Solution

The fourth proportional to 538,497.38, 743,253.02 and 334,702.22 is: 461,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,497.38 : 743,253.02 = 334,702.22 : x
  2. Step 2: Convert to fraction form
    538,497.38/743,253.02 = 334,702.22/x
  3. Step 3: Cross multiply
    538,497.38x = 743,253.02 × 334,702.22
  4. Step 4: Simplify right side
    538,497.38x = 248,768,435,815.70
  5. Step 5: Solve for x
    x = 248,768,435,815.70/538,497.38
  6. Step 6: Final answer
    x = 461,967.77

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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.