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Finding the Fourth Proportional to 511,322.10, 766,983.15 and 432,590.10

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Solution

The fourth proportional to 511,322.10, 766,983.15 and 432,590.10 is: 648,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,322.10 : 766,983.15 = 432,590.10 : x
  2. Step 2: Convert to fraction form
    511,322.10/766,983.15 = 432,590.10/x
  3. Step 3: Cross multiply
    511,322.10x = 766,983.15 × 432,590.10
  4. Step 4: Simplify right side
    511,322.10x = 331,789,317,556.82
  5. Step 5: Solve for x
    x = 331,789,317,556.82/511,322.10
  6. Step 6: Final answer
    x = 648,885.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.