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Finding the Fourth Proportional to 294,384.80, 406,258.50 and 165,333.56

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Solution

The fourth proportional to 294,384.80, 406,258.50 and 165,333.56 is: 228,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,384.80 : 406,258.50 = 165,333.56 : x
  2. Step 2: Convert to fraction form
    294,384.80/406,258.50 = 165,333.56/x
  3. Step 3: Cross multiply
    294,384.80x = 406,258.50 × 165,333.56
  4. Step 4: Simplify right side
    294,384.80x = 67,168,164,085.26
  5. Step 5: Solve for x
    x = 67,168,164,085.26/294,384.80
  6. Step 6: Final answer
    x = 228,164.51

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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.