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Finding the Fourth Proportional to 357,727.06, 493,457.77 and 223,357.78

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Solution

The fourth proportional to 357,727.06, 493,457.77 and 223,357.78 is: 308,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,727.06 : 493,457.77 = 223,357.78 : x
  2. Step 2: Convert to fraction form
    357,727.06/493,457.77 = 223,357.78/x
  3. Step 3: Cross multiply
    357,727.06x = 493,457.77 × 223,357.78
  4. Step 4: Simplify right side
    357,727.06x = 110,217,632,030.95
  5. Step 5: Solve for x
    x = 110,217,632,030.95/357,727.06
  6. Step 6: Final answer
    x = 308,105.38

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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.