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Finding the Fourth Proportional to 380,714.16, 525,441.50 and 219,537.73

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Solution

The fourth proportional to 380,714.16, 525,441.50 and 219,537.73 is: 302,994.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,714.16 : 525,441.50 = 219,537.73 : x
  2. Step 2: Convert to fraction form
    380,714.16/525,441.50 = 219,537.73/x
  3. Step 3: Cross multiply
    380,714.16x = 525,441.50 × 219,537.73
  4. Step 4: Simplify right side
    380,714.16x = 115,354,234,157.80
  5. Step 5: Solve for x
    x = 115,354,234,157.80/380,714.16
  6. Step 6: Final answer
    x = 302,994.34

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1.5x scale

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.