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Finding the Fourth Proportional to 313,696.86, 467,224.64 and 312,167.58

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Solution

The fourth proportional to 313,696.86, 467,224.64 and 312,167.58 is: 464,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,696.86 : 467,224.64 = 312,167.58 : x
  2. Step 2: Convert to fraction form
    313,696.86/467,224.64 = 312,167.58/x
  3. Step 3: Cross multiply
    313,696.86x = 467,224.64 × 312,167.58
  4. Step 4: Simplify right side
    313,696.86x = 145,852,383,624.33
  5. Step 5: Solve for x
    x = 145,852,383,624.33/313,696.86
  6. Step 6: Final answer
    x = 464,946.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.