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Finding the Fourth Proportional to 511,828.83, 767,715.56 and 156,843.88

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Solution

The fourth proportional to 511,828.83, 767,715.56 and 156,843.88 is: 235,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,828.83 : 767,715.56 = 156,843.88 : x
  2. Step 2: Convert to fraction form
    511,828.83/767,715.56 = 156,843.88/x
  3. Step 3: Cross multiply
    511,828.83x = 767,715.56 × 156,843.88
  4. Step 4: Simplify right side
    511,828.83x = 120,411,487,166.77
  5. Step 5: Solve for x
    x = 120,411,487,166.77/511,828.83
  6. Step 6: Final answer
    x = 235,257.34

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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.