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Finding the Fourth Proportional to 533,998.52, 801,312.88 and 197,277.48

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Solution

The fourth proportional to 533,998.52, 801,312.88 and 197,277.48 is: 296,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,998.52 : 801,312.88 = 197,277.48 : x
  2. Step 2: Convert to fraction form
    533,998.52/801,312.88 = 197,277.48/x
  3. Step 3: Cross multiply
    533,998.52x = 801,312.88 × 197,277.48
  4. Step 4: Simplify right side
    533,998.52x = 158,080,985,657.94
  5. Step 5: Solve for x
    x = 158,080,985,657.94/533,998.52
  6. Step 6: Final answer
    x = 296,032.63

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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.