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Finding the Fourth Proportional to 356,714.70, 535,072.05 and 146,244.30

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Solution

The fourth proportional to 356,714.70, 535,072.05 and 146,244.30 is: 219,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,714.70 : 535,072.05 = 146,244.30 : x
  2. Step 2: Convert to fraction form
    356,714.70/535,072.05 = 146,244.30/x
  3. Step 3: Cross multiply
    356,714.70x = 535,072.05 × 146,244.30
  4. Step 4: Simplify right side
    356,714.70x = 78,251,237,401.82
  5. Step 5: Solve for x
    x = 78,251,237,401.82/356,714.70
  6. Step 6: Final answer
    x = 219,366.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.