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Finding the Fourth Proportional to 511,656.38, 767,644.41 and 174,705.02

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Solution

The fourth proportional to 511,656.38, 767,644.41 and 174,705.02 is: 262,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,656.38 : 767,644.41 = 174,705.02 : x
  2. Step 2: Convert to fraction form
    511,656.38/767,644.41 = 174,705.02/x
  3. Step 3: Cross multiply
    511,656.38x = 767,644.41 × 174,705.02
  4. Step 4: Simplify right side
    511,656.38x = 134,111,332,001.94
  5. Step 5: Solve for x
    x = 134,111,332,001.94/511,656.38
  6. Step 6: Final answer
    x = 262,112.11

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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.