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Finding the Fourth Proportional to 511,565.94, 767,408.16 and 170,039.89

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Solution

The fourth proportional to 511,565.94, 767,408.16 and 170,039.89 is: 255,079.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,565.94 : 767,408.16 = 170,039.89 : x
  2. Step 2: Convert to fraction form
    511,565.94/767,408.16 = 170,039.89/x
  3. Step 3: Cross multiply
    511,565.94x = 767,408.16 × 170,039.89
  4. Step 4: Simplify right side
    511,565.94x = 130,489,999,111.50
  5. Step 5: Solve for x
    x = 130,489,999,111.50/511,565.94
  6. Step 6: Final answer
    x = 255,079.53

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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.