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Finding the Fourth Proportional to 297,762.10, 446,643.15 and 171,402.10

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Solution

The fourth proportional to 297,762.10, 446,643.15 and 171,402.10 is: 257,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,762.10 : 446,643.15 = 171,402.10 : x
  2. Step 2: Convert to fraction form
    297,762.10/446,643.15 = 171,402.10/x
  3. Step 3: Cross multiply
    297,762.10x = 446,643.15 × 171,402.10
  4. Step 4: Simplify right side
    297,762.10x = 76,555,573,860.62
  5. Step 5: Solve for x
    x = 76,555,573,860.62/297,762.10
  6. Step 6: Final answer
    x = 257,103.15

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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.