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Finding the Fourth Proportional to 341,120.52, 470,390.16 and 237,874.77

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Solution

The fourth proportional to 341,120.52, 470,390.16 and 237,874.77 is: 328,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,120.52 : 470,390.16 = 237,874.77 : x
  2. Step 2: Convert to fraction form
    341,120.52/470,390.16 = 237,874.77/x
  3. Step 3: Cross multiply
    341,120.52x = 470,390.16 × 237,874.77
  4. Step 4: Simplify right side
    341,120.52x = 111,893,951,120.26
  5. Step 5: Solve for x
    x = 111,893,951,120.26/341,120.52
  6. Step 6: Final answer
    x = 328,018.82

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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.