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Finding the Fourth Proportional to 433,112.78, 597,714.18 and 242,126.12

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Solution

The fourth proportional to 433,112.78, 597,714.18 and 242,126.12 is: 334,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,112.78 : 597,714.18 = 242,126.12 : x
  2. Step 2: Convert to fraction form
    433,112.78/597,714.18 = 242,126.12/x
  3. Step 3: Cross multiply
    433,112.78x = 597,714.18 × 242,126.12
  4. Step 4: Simplify right side
    433,112.78x = 144,722,215,272.38
  5. Step 5: Solve for x
    x = 144,722,215,272.38/433,112.78
  6. Step 6: Final answer
    x = 334,144.41

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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.