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Finding the Fourth Proportional to 511,370.75, 767,166.86 and 195,827.68

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Solution

The fourth proportional to 511,370.75, 767,166.86 and 195,827.68 is: 293,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,370.75 : 767,166.86 = 195,827.68 : x
  2. Step 2: Convert to fraction form
    511,370.75/767,166.86 = 195,827.68/x
  3. Step 3: Cross multiply
    511,370.75x = 767,166.86 × 195,827.68
  4. Step 4: Simplify right side
    511,370.75x = 150,232,506,366.69
  5. Step 5: Solve for x
    x = 150,232,506,366.69/511,370.75
  6. Step 6: Final answer
    x = 293,783.93

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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.