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Finding the Fourth Proportional to 469,696, 704,673.60 and 137,272

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Solution

The fourth proportional to 469,696, 704,673.60 and 137,272 is: 205,945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,696 : 704,673.60 = 137,272 : x
  2. Step 2: Convert to fraction form
    469,696/704,673.60 = 137,272/x
  3. Step 3: Cross multiply
    469,696x = 704,673.60 × 137,272
  4. Step 4: Simplify right side
    469,696x = 96,731,954,419.20
  5. Step 5: Solve for x
    x = 96,731,954,419.20/469,696
  6. Step 6: Final answer
    x = 205,945.88

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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.