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Finding the Fourth Proportional to 357,842.60, 493,823.89 and 196,714.16

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Solution

The fourth proportional to 357,842.60, 493,823.89 and 196,714.16 is: 271,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,842.60 : 493,823.89 = 196,714.16 : x
  2. Step 2: Convert to fraction form
    357,842.60/493,823.89 = 196,714.16/x
  3. Step 3: Cross multiply
    357,842.60x = 493,823.89 × 196,714.16
  4. Step 4: Simplify right side
    357,842.60x = 97,142,151,709.28
  5. Step 5: Solve for x
    x = 97,142,151,709.28/357,842.60
  6. Step 6: Final answer
    x = 271,466.15

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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.