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Finding the Fourth Proportional to 357,568.83, 493,420.61 and 196,430.67

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Solution

The fourth proportional to 357,568.83, 493,420.61 and 196,430.67 is: 271,060.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,568.83 : 493,420.61 = 196,430.67 : x
  2. Step 2: Convert to fraction form
    357,568.83/493,420.61 = 196,430.67/x
  3. Step 3: Cross multiply
    357,568.83x = 493,420.61 × 196,430.67
  4. Step 4: Simplify right side
    357,568.83x = 96,922,941,505.19
  5. Step 5: Solve for x
    x = 96,922,941,505.19/357,568.83
  6. Step 6: Final answer
    x = 271,060.94

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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.