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Finding the Fourth Proportional to 323,717.60, 485,576.40 and 197,746.40

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Solution

The fourth proportional to 323,717.60, 485,576.40 and 197,746.40 is: 296,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,717.60 : 485,576.40 = 197,746.40 : x
  2. Step 2: Convert to fraction form
    323,717.60/485,576.40 = 197,746.40/x
  3. Step 3: Cross multiply
    323,717.60x = 485,576.40 × 197,746.40
  4. Step 4: Simplify right side
    323,717.60x = 96,020,985,024.96
  5. Step 5: Solve for x
    x = 96,020,985,024.96/323,717.60
  6. Step 6: Final answer
    x = 296,619.60

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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.