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Finding the Fourth Proportional to 357,492.58, 493,338.26 and 196,347.13

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Solution

The fourth proportional to 357,492.58, 493,338.26 and 196,347.13 is: 270,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,492.58 : 493,338.26 = 196,347.13 : x
  2. Step 2: Convert to fraction form
    357,492.58/493,338.26 = 196,347.13/x
  3. Step 3: Cross multiply
    357,492.58x = 493,338.26 × 196,347.13
  4. Step 4: Simplify right side
    357,492.58x = 96,865,550,727.72
  5. Step 5: Solve for x
    x = 96,865,550,727.72/357,492.58
  6. Step 6: Final answer
    x = 270,958.22

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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.