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Finding the Fourth Proportional to 357,914.55, 493,901.10 and 196,769.51

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Solution

The fourth proportional to 357,914.55, 493,901.10 and 196,769.51 is: 271,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,914.55 : 493,901.10 = 196,769.51 : x
  2. Step 2: Convert to fraction form
    357,914.55/493,901.10 = 196,769.51/x
  3. Step 3: Cross multiply
    357,914.55x = 493,901.10 × 196,769.51
  4. Step 4: Simplify right side
    357,914.55x = 97,184,674,965.96
  5. Step 5: Solve for x
    x = 97,184,674,965.96/357,914.55
  6. Step 6: Final answer
    x = 271,530.38

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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.