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Finding the Fourth Proportional to 357,866.79, 493,856.75 and 196,722.86

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Solution

The fourth proportional to 357,866.79, 493,856.75 and 196,722.86 is: 271,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,866.79 : 493,856.75 = 196,722.86 : x
  2. Step 2: Convert to fraction form
    357,866.79/493,856.75 = 196,722.86/x
  3. Step 3: Cross multiply
    357,866.79x = 493,856.75 × 196,722.86
  4. Step 4: Simplify right side
    357,866.79x = 97,152,908,837.41
  5. Step 5: Solve for x
    x = 97,152,908,837.41/357,866.79
  6. Step 6: Final answer
    x = 271,477.86

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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.