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Finding the Fourth Proportional to 511,365.94, 767,159.64 and 195,822.86

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Solution

The fourth proportional to 511,365.94, 767,159.64 and 195,822.86 is: 293,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,365.94 : 767,159.64 = 195,822.86 : x
  2. Step 2: Convert to fraction form
    511,365.94/767,159.64 = 195,822.86/x
  3. Step 3: Cross multiply
    511,365.94x = 767,159.64 × 195,822.86
  4. Step 4: Simplify right side
    511,365.94x = 150,227,390,945.57
  5. Step 5: Solve for x
    x = 150,227,390,945.57/511,365.94
  6. Step 6: Final answer
    x = 293,776.69

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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.