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Finding the Fourth Proportional to 290,975.36, 401,415.36 and 177,776.96

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Solution

The fourth proportional to 290,975.36, 401,415.36 and 177,776.96 is: 245,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,975.36 : 401,415.36 = 177,776.96 : x
  2. Step 2: Convert to fraction form
    290,975.36/401,415.36 = 177,776.96/x
  3. Step 3: Cross multiply
    290,975.36x = 401,415.36 × 177,776.96
  4. Step 4: Simplify right side
    290,975.36x = 71,362,402,398.11
  5. Step 5: Solve for x
    x = 71,362,402,398.11/290,975.36
  6. Step 6: Final answer
    x = 245,252.39

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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.