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Finding the Fourth Proportional to 707,025.60, 975,704.40 and 384,744.42

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Solution

The fourth proportional to 707,025.60, 975,704.40 and 384,744.42 is: 530,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,025.60 : 975,704.40 = 384,744.42 : x
  2. Step 2: Convert to fraction form
    707,025.60/975,704.40 = 384,744.42/x
  3. Step 3: Cross multiply
    707,025.60x = 975,704.40 × 384,744.42
  4. Step 4: Simplify right side
    707,025.60x = 375,396,823,469.45
  5. Step 5: Solve for x
    x = 375,396,823,469.45/707,025.60
  6. Step 6: Final answer
    x = 530,952.24

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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.