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Finding the Fourth Proportional to 519,232.82, 778,877.57 and 164,220.35

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Solution

The fourth proportional to 519,232.82, 778,877.57 and 164,220.35 is: 246,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,232.82 : 778,877.57 = 164,220.35 : x
  2. Step 2: Convert to fraction form
    519,232.82/778,877.57 = 164,220.35/x
  3. Step 3: Cross multiply
    519,232.82x = 778,877.57 × 164,220.35
  4. Step 4: Simplify right side
    519,232.82x = 127,907,543,668.71
  5. Step 5: Solve for x
    x = 127,907,543,668.71/519,232.82
  6. Step 6: Final answer
    x = 246,339.48

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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.