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Finding the Fourth Proportional to 511,655.30, 706,278.86 and 384,699.68

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Solution

The fourth proportional to 511,655.30, 706,278.86 and 384,699.68 is: 531,031.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,655.30 : 706,278.86 = 384,699.68 : x
  2. Step 2: Convert to fraction form
    511,655.30/706,278.86 = 384,699.68/x
  3. Step 3: Cross multiply
    511,655.30x = 706,278.86 × 384,699.68
  4. Step 4: Simplify right side
    511,655.30x = 271,705,245,977.87
  5. Step 5: Solve for x
    x = 271,705,245,977.87/511,655.30
  6. Step 6: Final answer
    x = 531,031.83

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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.