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Finding the Fourth Proportional to 473,231.70, 709,847.55 and 454,860.90

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Solution

The fourth proportional to 473,231.70, 709,847.55 and 454,860.90 is: 682,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,231.70 : 709,847.55 = 454,860.90 : x
  2. Step 2: Convert to fraction form
    473,231.70/709,847.55 = 454,860.90/x
  3. Step 3: Cross multiply
    473,231.70x = 709,847.55 × 454,860.90
  4. Step 4: Simplify right side
    473,231.70x = 322,881,895,455.80
  5. Step 5: Solve for x
    x = 322,881,895,455.80/473,231.70
  6. Step 6: Final answer
    x = 682,291.35

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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.