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Finding the Fourth Proportional to 477,985.06, 716,974.39 and 193,671.41

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Solution

The fourth proportional to 477,985.06, 716,974.39 and 193,671.41 is: 290,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,985.06 : 716,974.39 = 193,671.41 : x
  2. Step 2: Convert to fraction form
    477,985.06/716,974.39 = 193,671.41/x
  3. Step 3: Cross multiply
    477,985.06x = 716,974.39 × 193,671.41
  4. Step 4: Simplify right side
    477,985.06x = 138,857,442,353.45
  5. Step 5: Solve for x
    x = 138,857,442,353.45/477,985.06
  6. Step 6: Final answer
    x = 290,505.82

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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.