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Finding the Fourth Proportional to 511,827.83, 767,714.06 and 156,842.88

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Solution

The fourth proportional to 511,827.83, 767,714.06 and 156,842.88 is: 235,255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,827.83 : 767,714.06 = 156,842.88 : x
  2. Step 2: Convert to fraction form
    511,827.83/767,714.06 = 156,842.88/x
  3. Step 3: Cross multiply
    511,827.83x = 767,714.06 × 156,842.88
  4. Step 4: Simplify right side
    511,827.83x = 120,410,484,186.89
  5. Step 5: Solve for x
    x = 120,410,484,186.89/511,827.83
  6. Step 6: Final answer
    x = 235,255.84

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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.