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Finding the Fourth Proportional to 292,838.72, 438,756.12 and 196,595.66

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Solution

The fourth proportional to 292,838.72, 438,756.12 and 196,595.66 is: 294,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,838.72 : 438,756.12 = 196,595.66 : x
  2. Step 2: Convert to fraction form
    292,838.72/438,756.12 = 196,595.66/x
  3. Step 3: Cross multiply
    292,838.72x = 438,756.12 × 196,595.66
  4. Step 4: Simplify right side
    292,838.72x = 86,257,546,796.66
  5. Step 5: Solve for x
    x = 86,257,546,796.66/292,838.72
  6. Step 6: Final answer
    x = 294,556.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.