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Finding the Fourth Proportional to 475,352.09, 712,548.06 and 297,983.42

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Solution

The fourth proportional to 475,352.09, 712,548.06 and 297,983.42 is: 446,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,352.09 : 712,548.06 = 297,983.42 : x
  2. Step 2: Convert to fraction form
    475,352.09/712,548.06 = 297,983.42/x
  3. Step 3: Cross multiply
    475,352.09x = 712,548.06 × 297,983.42
  4. Step 4: Simplify right side
    475,352.09x = 212,327,504,270.43
  5. Step 5: Solve for x
    x = 212,327,504,270.43/475,352.09
  6. Step 6: Final answer
    x = 446,674.18

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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.