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Finding the Fourth Proportional to 519,761.70, 779,569.65 and 164,811.60

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Solution

The fourth proportional to 519,761.70, 779,569.65 and 164,811.60 is: 247,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,761.70 : 779,569.65 = 164,811.60 : x
  2. Step 2: Convert to fraction form
    519,761.70/779,569.65 = 164,811.60/x
  3. Step 3: Cross multiply
    519,761.70x = 779,569.65 × 164,811.60
  4. Step 4: Simplify right side
    519,761.70x = 128,482,121,327.94
  5. Step 5: Solve for x
    x = 128,482,121,327.94/519,761.70
  6. Step 6: Final answer
    x = 247,194.28

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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.