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Finding the Fourth Proportional to 312,295.74, 468,404.73 and 101,916.06

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Solution

The fourth proportional to 312,295.74, 468,404.73 and 101,916.06 is: 152,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,295.74 : 468,404.73 = 101,916.06 : x
  2. Step 2: Convert to fraction form
    312,295.74/468,404.73 = 101,916.06/x
  3. Step 3: Cross multiply
    312,295.74x = 468,404.73 × 101,916.06
  4. Step 4: Simplify right side
    312,295.74x = 47,737,964,566.96
  5. Step 5: Solve for x
    x = 47,737,964,566.96/312,295.74
  6. Step 6: Final answer
    x = 152,861.40

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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.