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Finding the Fourth Proportional to 294,666.78, 406,533.49 and 192,750.42

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Solution

The fourth proportional to 294,666.78, 406,533.49 and 192,750.42 is: 265,925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,666.78 : 406,533.49 = 192,750.42 : x
  2. Step 2: Convert to fraction form
    294,666.78/406,533.49 = 192,750.42/x
  3. Step 3: Cross multiply
    294,666.78x = 406,533.49 × 192,750.42
  4. Step 4: Simplify right side
    294,666.78x = 78,359,500,941.57
  5. Step 5: Solve for x
    x = 78,359,500,941.57/294,666.78
  6. Step 6: Final answer
    x = 265,925.81

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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.