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Finding the Fourth Proportional to 294,399.99, 406,270.82 and 165,320.51

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Solution

The fourth proportional to 294,399.99, 406,270.82 and 165,320.51 is: 228,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,399.99 : 406,270.82 = 165,320.51 : x
  2. Step 2: Convert to fraction form
    294,399.99/406,270.82 = 165,320.51/x
  3. Step 3: Cross multiply
    294,399.99x = 406,270.82 × 165,320.51
  4. Step 4: Simplify right side
    294,399.99x = 67,164,896,302.56
  5. Step 5: Solve for x
    x = 67,164,896,302.56/294,399.99
  6. Step 6: Final answer
    x = 228,141.64

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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.