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Finding the Fourth Proportional to 287,893.83, 431,917.33 and 98,353.92

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Solution

The fourth proportional to 287,893.83, 431,917.33 and 98,353.92 is: 147,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,893.83 : 431,917.33 = 98,353.92 : x
  2. Step 2: Convert to fraction form
    287,893.83/431,917.33 = 98,353.92/x
  3. Step 3: Cross multiply
    287,893.83x = 431,917.33 × 98,353.92
  4. Step 4: Simplify right side
    287,893.83x = 42,480,762,029.66
  5. Step 5: Solve for x
    x = 42,480,762,029.66/287,893.83
  6. Step 6: Final answer
    x = 147,557.04

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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.