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Finding the Fourth Proportional to 414,211.41, 620,320.61 and 236,178.69

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Solution

The fourth proportional to 414,211.41, 620,320.61 and 236,178.69 is: 353,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,211.41 : 620,320.61 = 236,178.69 : x
  2. Step 2: Convert to fraction form
    414,211.41/620,320.61 = 236,178.69/x
  3. Step 3: Cross multiply
    414,211.41x = 620,320.61 × 236,178.69
  4. Step 4: Simplify right side
    414,211.41x = 146,506,507,868.91
  5. Step 5: Solve for x
    x = 146,506,507,868.91/414,211.41
  6. Step 6: Final answer
    x = 353,699.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.