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Finding the Fourth Proportional to 294,556.71, 406,463.32 and 165,485.07

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Solution

The fourth proportional to 294,556.71, 406,463.32 and 165,485.07 is: 228,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,556.71 : 406,463.32 = 165,485.07 : x
  2. Step 2: Convert to fraction form
    294,556.71/406,463.32 = 165,485.07/x
  3. Step 3: Cross multiply
    294,556.71x = 406,463.32 × 165,485.07
  4. Step 4: Simplify right side
    294,556.71x = 67,263,610,548.92
  5. Step 5: Solve for x
    x = 67,263,610,548.92/294,556.71
  6. Step 6: Final answer
    x = 228,355.38

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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.