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Finding the Fourth Proportional to 320,873.74, 442,666.71 and 193,478.56

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Solution

The fourth proportional to 320,873.74, 442,666.71 and 193,478.56 is: 266,916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,873.74 : 442,666.71 = 193,478.56 : x
  2. Step 2: Convert to fraction form
    320,873.74/442,666.71 = 193,478.56/x
  3. Step 3: Cross multiply
    320,873.74x = 442,666.71 × 193,478.56
  4. Step 4: Simplify right side
    320,873.74x = 85,646,517,610.74
  5. Step 5: Solve for x
    x = 85,646,517,610.74/320,873.74
  6. Step 6: Final answer
    x = 266,916.57

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1.5x scale

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.