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Finding the Fourth Proportional to 776,293.50, 1,164,440.25 and 215,328

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Solution

The fourth proportional to 776,293.50, 1,164,440.25 and 215,328 is: 322,992

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,293.50 : 1,164,440.25 = 215,328 : x
  2. Step 2: Convert to fraction form
    776,293.50/1,164,440.25 = 215,328/x
  3. Step 3: Cross multiply
    776,293.50x = 1,164,440.25 × 215,328
  4. Step 4: Simplify right side
    776,293.50x = 250,736,590,152
  5. Step 5: Solve for x
    x = 250,736,590,152/776,293.50
  6. Step 6: Final answer
    x = 322,992

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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.