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Finding the Fourth Proportional to 506,969.82, 760,181.94 and 203,211.54

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Solution

The fourth proportional to 506,969.82, 760,181.94 and 203,211.54 is: 304,707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,969.82 : 760,181.94 = 203,211.54 : x
  2. Step 2: Convert to fraction form
    506,969.82/760,181.94 = 203,211.54/x
  3. Step 3: Cross multiply
    506,969.82x = 760,181.94 × 203,211.54
  4. Step 4: Simplify right side
    506,969.82x = 154,477,742,707.59
  5. Step 5: Solve for x
    x = 154,477,742,707.59/506,969.82
  6. Step 6: Final answer
    x = 304,707.97

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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.