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Finding the Fourth Proportional to 312,516.74, 468,796.98 and 154,702.82

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Solution

The fourth proportional to 312,516.74, 468,796.98 and 154,702.82 is: 232,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,516.74 : 468,796.98 = 154,702.82 : x
  2. Step 2: Convert to fraction form
    312,516.74/468,796.98 = 154,702.82/x
  3. Step 3: Cross multiply
    312,516.74x = 468,796.98 × 154,702.82
  4. Step 4: Simplify right side
    312,516.74x = 72,524,214,813.48
  5. Step 5: Solve for x
    x = 72,524,214,813.48/312,516.74
  6. Step 6: Final answer
    x = 232,065.06

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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.