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Finding the Fourth Proportional to 511,398.96, 767,319.81 and 274,464.78

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Solution

The fourth proportional to 511,398.96, 767,319.81 and 274,464.78 is: 411,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,398.96 : 767,319.81 = 274,464.78 : x
  2. Step 2: Convert to fraction form
    511,398.96/767,319.81 = 274,464.78/x
  3. Step 3: Cross multiply
    511,398.96x = 767,319.81 × 274,464.78
  4. Step 4: Simplify right side
    511,398.96x = 210,602,262,841.29
  5. Step 5: Solve for x
    x = 210,602,262,841.29/511,398.96
  6. Step 6: Final answer
    x = 411,815.98

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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.