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Finding the Fourth Proportional to 297,865.40, 446,798.10 and 171,894.20

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Solution

The fourth proportional to 297,865.40, 446,798.10 and 171,894.20 is: 257,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,865.40 : 446,798.10 = 171,894.20 : x
  2. Step 2: Convert to fraction form
    297,865.40/446,798.10 = 171,894.20/x
  3. Step 3: Cross multiply
    297,865.40x = 446,798.10 × 171,894.20
  4. Step 4: Simplify right side
    297,865.40x = 76,802,001,961.02
  5. Step 5: Solve for x
    x = 76,802,001,961.02/297,865.40
  6. Step 6: Final answer
    x = 257,841.30

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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.