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Finding the Fourth Proportional to 542,997.02, 814,543.39 and 201,444.40

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Solution

The fourth proportional to 542,997.02, 814,543.39 and 201,444.40 is: 302,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,997.02 : 814,543.39 = 201,444.40 : x
  2. Step 2: Convert to fraction form
    542,997.02/814,543.39 = 201,444.40/x
  3. Step 3: Cross multiply
    542,997.02x = 814,543.39 × 201,444.40
  4. Step 4: Simplify right side
    542,997.02x = 164,085,200,027.57
  5. Step 5: Solve for x
    x = 164,085,200,027.57/542,997.02
  6. Step 6: Final answer
    x = 302,184.35

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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.