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Finding the Fourth Proportional to 292,636.83, 438,955.26 and 82,274.76

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Solution

The fourth proportional to 292,636.83, 438,955.26 and 82,274.76 is: 123,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,636.83 : 438,955.26 = 82,274.76 : x
  2. Step 2: Convert to fraction form
    292,636.83/438,955.26 = 82,274.76/x
  3. Step 3: Cross multiply
    292,636.83x = 438,955.26 × 82,274.76
  4. Step 4: Simplify right side
    292,636.83x = 36,114,938,667.24
  5. Step 5: Solve for x
    x = 36,114,938,667.24/292,636.83
  6. Step 6: Final answer
    x = 123,412.14

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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.