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Finding the Fourth Proportional to 297,645.87, 446,530.32 and 97,978.24

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Solution

The fourth proportional to 297,645.87, 446,530.32 and 97,978.24 is: 146,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,645.87 : 446,530.32 = 97,978.24 : x
  2. Step 2: Convert to fraction form
    297,645.87/446,530.32 = 97,978.24/x
  3. Step 3: Cross multiply
    297,645.87x = 446,530.32 × 97,978.24
  4. Step 4: Simplify right side
    297,645.87x = 43,750,255,418.40
  5. Step 5: Solve for x
    x = 43,750,255,418.40/297,645.87
  6. Step 6: Final answer
    x = 146,987.61

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1.5x scale

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.