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Finding the Fourth Proportional to 704,003.75, 971,362.42 and 474,985.90

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Solution

The fourth proportional to 704,003.75, 971,362.42 and 474,985.90 is: 655,370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,003.75 : 971,362.42 = 474,985.90 : x
  2. Step 2: Convert to fraction form
    704,003.75/971,362.42 = 474,985.90/x
  3. Step 3: Cross multiply
    704,003.75x = 971,362.42 × 474,985.90
  4. Step 4: Simplify right side
    704,003.75x = 461,383,449,674.01
  5. Step 5: Solve for x
    x = 461,383,449,674.01/704,003.75
  6. Step 6: Final answer
    x = 655,370.73

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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.