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Finding the Fourth Proportional to 375,951.78, 563,918.36 and 109,714.64

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Solution

The fourth proportional to 375,951.78, 563,918.36 and 109,714.64 is: 164,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,951.78 : 563,918.36 = 109,714.64 : x
  2. Step 2: Convert to fraction form
    375,951.78/563,918.36 = 109,714.64/x
  3. Step 3: Cross multiply
    375,951.78x = 563,918.36 × 109,714.64
  4. Step 4: Simplify right side
    375,951.78x = 61,870,096,488.63
  5. Step 5: Solve for x
    x = 61,870,096,488.63/375,951.78
  6. Step 6: Final answer
    x = 164,569.23

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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.