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Finding the Fourth Proportional to 546,361.97, 817,997.49 and 289,609.52

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Solution

The fourth proportional to 546,361.97, 817,997.49 and 289,609.52 is: 433,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,361.97 : 817,997.49 = 289,609.52 : x
  2. Step 2: Convert to fraction form
    546,361.97/817,997.49 = 289,609.52/x
  3. Step 3: Cross multiply
    546,361.97x = 817,997.49 × 289,609.52
  4. Step 4: Simplify right side
    546,361.97x = 236,899,860,440.11
  5. Step 5: Solve for x
    x = 236,899,860,440.11/546,361.97
  6. Step 6: Final answer
    x = 433,595.08

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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.