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Finding the Fourth Proportional to 357,814.39, 493,238.04 and 303,164.84

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Solution

The fourth proportional to 357,814.39, 493,238.04 and 303,164.84 is: 417,905.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,814.39 : 493,238.04 = 303,164.84 : x
  2. Step 2: Convert to fraction form
    357,814.39/493,238.04 = 303,164.84/x
  3. Step 3: Cross multiply
    357,814.39x = 493,238.04 × 303,164.84
  4. Step 4: Simplify right side
    357,814.39x = 149,532,433,680.98
  5. Step 5: Solve for x
    x = 149,532,433,680.98/357,814.39
  6. Step 6: Final answer
    x = 417,905.03

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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.