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Finding the Fourth Proportional to 414,071.76, 571,439.30 and 232,840.74

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Solution

The fourth proportional to 414,071.76, 571,439.30 and 232,840.74 is: 321,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,071.76 : 571,439.30 = 232,840.74 : x
  2. Step 2: Convert to fraction form
    414,071.76/571,439.30 = 232,840.74/x
  3. Step 3: Cross multiply
    414,071.76x = 571,439.30 × 232,840.74
  4. Step 4: Simplify right side
    414,071.76x = 133,054,349,477.08
  5. Step 5: Solve for x
    x = 133,054,349,477.08/414,071.76
  6. Step 6: Final answer
    x = 321,331.62

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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.