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Finding the Fourth Proportional to 297,714.32, 446,950.56 and 192,971.60

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Solution

The fourth proportional to 297,714.32, 446,950.56 and 192,971.60 is: 289,703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,714.32 : 446,950.56 = 192,971.60 : x
  2. Step 2: Convert to fraction form
    297,714.32/446,950.56 = 192,971.60/x
  3. Step 3: Cross multiply
    297,714.32x = 446,950.56 × 192,971.60
  4. Step 4: Simplify right side
    297,714.32x = 86,248,764,684.10
  5. Step 5: Solve for x
    x = 86,248,764,684.10/297,714.32
  6. Step 6: Final answer
    x = 289,703.11

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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.