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Finding the Fourth Proportional to 414,211.66, 620,320.98 and 236,178.94

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Solution

The fourth proportional to 414,211.66, 620,320.98 and 236,178.94 is: 353,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,211.66 : 620,320.98 = 236,178.94 : x
  2. Step 2: Convert to fraction form
    414,211.66/620,320.98 = 236,178.94/x
  3. Step 3: Cross multiply
    414,211.66x = 620,320.98 × 236,178.94
  4. Step 4: Simplify right side
    414,211.66x = 146,506,751,516.16
  5. Step 5: Solve for x
    x = 146,506,751,516.16/414,211.66
  6. Step 6: Final answer
    x = 353,700.21

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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.