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Finding the Fourth Proportional to 294,402.51, 406,274.31 and 165,323.07

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Solution

The fourth proportional to 294,402.51, 406,274.31 and 165,323.07 is: 228,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,402.51 : 406,274.31 = 165,323.07 : x
  2. Step 2: Convert to fraction form
    294,402.51/406,274.31 = 165,323.07/x
  3. Step 3: Cross multiply
    294,402.51x = 406,274.31 × 165,323.07
  4. Step 4: Simplify right side
    294,402.51x = 67,166,516,191.33
  5. Step 5: Solve for x
    x = 67,166,516,191.33/294,402.51
  6. Step 6: Final answer
    x = 228,145.19

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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.