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Finding the Fourth Proportional to 357,784.16, 493,536.54 and 223,414.88

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Solution

The fourth proportional to 357,784.16, 493,536.54 and 223,414.88 is: 308,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,784.16 : 493,536.54 = 223,414.88 : x
  2. Step 2: Convert to fraction form
    357,784.16/493,536.54 = 223,414.88/x
  3. Step 3: Cross multiply
    357,784.16x = 493,536.54 × 223,414.88
  4. Step 4: Simplify right side
    357,784.16x = 110,263,405,229.84
  5. Step 5: Solve for x
    x = 110,263,405,229.84/357,784.16
  6. Step 6: Final answer
    x = 308,184.15

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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.