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Finding the Fourth Proportional to 294,666.28, 406,532.80 and 192,749.92

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Solution

The fourth proportional to 294,666.28, 406,532.80 and 192,749.92 is: 265,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,666.28 : 406,532.80 = 192,749.92 : x
  2. Step 2: Convert to fraction form
    294,666.28/406,532.80 = 192,749.92/x
  3. Step 3: Cross multiply
    294,666.28x = 406,532.80 × 192,749.92
  4. Step 4: Simplify right side
    294,666.28x = 78,359,164,677.38
  5. Step 5: Solve for x
    x = 78,359,164,677.38/294,666.28
  6. Step 6: Final answer
    x = 265,925.12

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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.