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Finding the Fourth Proportional to 511,659.07, 767,265.64 and 146,840.33

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Solution

The fourth proportional to 511,659.07, 767,265.64 and 146,840.33 is: 220,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,659.07 : 767,265.64 = 146,840.33 : x
  2. Step 2: Convert to fraction form
    511,659.07/767,265.64 = 146,840.33/x
  3. Step 3: Cross multiply
    511,659.07x = 767,265.64 × 146,840.33
  4. Step 4: Simplify right side
    511,659.07x = 112,665,539,775.26
  5. Step 5: Solve for x
    x = 112,665,539,775.26/511,659.07
  6. Step 6: Final answer
    x = 220,196.51

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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.