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Finding the Fourth Proportional to 227,547.20, 340,543.20 and 199,553.60

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Solution

The fourth proportional to 227,547.20, 340,543.20 and 199,553.60 is: 298,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,547.20 : 340,543.20 = 199,553.60 : x
  2. Step 2: Convert to fraction form
    227,547.20/340,543.20 = 199,553.60/x
  3. Step 3: Cross multiply
    227,547.20x = 340,543.20 × 199,553.60
  4. Step 4: Simplify right side
    227,547.20x = 67,956,621,515.52
  5. Step 5: Solve for x
    x = 67,956,621,515.52/227,547.20
  6. Step 6: Final answer
    x = 298,648.46

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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.