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Finding the Fourth Proportional to 513,894.69, 770,916.09 and 158,936.40

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Solution

The fourth proportional to 513,894.69, 770,916.09 and 158,936.40 is: 238,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,894.69 : 770,916.09 = 158,936.40 : x
  2. Step 2: Convert to fraction form
    513,894.69/770,916.09 = 158,936.40/x
  3. Step 3: Cross multiply
    513,894.69x = 770,916.09 × 158,936.40
  4. Step 4: Simplify right side
    513,894.69x = 122,526,628,046.68
  5. Step 5: Solve for x
    x = 122,526,628,046.68/513,894.69
  6. Step 6: Final answer
    x = 238,427.50

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1.5x scale

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.