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Finding the Fourth Proportional to 228,497.60, 342,746.40 and 204,003.20

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Solution

The fourth proportional to 228,497.60, 342,746.40 and 204,003.20 is: 306,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,497.60 : 342,746.40 = 204,003.20 : x
  2. Step 2: Convert to fraction form
    228,497.60/342,746.40 = 204,003.20/x
  3. Step 3: Cross multiply
    228,497.60x = 342,746.40 × 204,003.20
  4. Step 4: Simplify right side
    228,497.60x = 69,921,362,388.48
  5. Step 5: Solve for x
    x = 69,921,362,388.48/228,497.60
  6. Step 6: Final answer
    x = 306,004.80

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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.