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Finding the Fourth Proportional to 312,340.98, 430,854.66 and 197,584.32

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Solution

The fourth proportional to 312,340.98, 430,854.66 and 197,584.32 is: 272,555.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,340.98 : 430,854.66 = 197,584.32 : x
  2. Step 2: Convert to fraction form
    312,340.98/430,854.66 = 197,584.32/x
  3. Step 3: Cross multiply
    312,340.98x = 430,854.66 × 197,584.32
  4. Step 4: Simplify right side
    312,340.98x = 85,130,125,014.93
  5. Step 5: Solve for x
    x = 85,130,125,014.93/312,340.98
  6. Step 6: Final answer
    x = 272,555.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.