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Finding the Fourth Proportional to 357,956.96, 493,970.16 and 196,811.84

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Solution

The fourth proportional to 357,956.96, 493,970.16 and 196,811.84 is: 271,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,956.96 : 493,970.16 = 196,811.84 : x
  2. Step 2: Convert to fraction form
    357,956.96/493,970.16 = 196,811.84/x
  3. Step 3: Cross multiply
    357,956.96x = 493,970.16 × 196,811.84
  4. Step 4: Simplify right side
    357,956.96x = 97,219,176,094.69
  5. Step 5: Solve for x
    x = 97,219,176,094.69/357,956.96
  6. Step 6: Final answer
    x = 271,594.60

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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.