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Finding the Fourth Proportional to 511,772.67, 706,017.96 and 296,788.14

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Solution

The fourth proportional to 511,772.67, 706,017.96 and 296,788.14 is: 409,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,772.67 : 706,017.96 = 296,788.14 : x
  2. Step 2: Convert to fraction form
    511,772.67/706,017.96 = 296,788.14/x
  3. Step 3: Cross multiply
    511,772.67x = 706,017.96 × 296,788.14
  4. Step 4: Simplify right side
    511,772.67x = 209,537,757,154.99
  5. Step 5: Solve for x
    x = 209,537,757,154.99/511,772.67
  6. Step 6: Final answer
    x = 409,435.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.