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Finding the Fourth Proportional to 307,293.94, 424,093.49 and 186,465.84

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Solution

The fourth proportional to 307,293.94, 424,093.49 and 186,465.84 is: 257,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,293.94 : 424,093.49 = 186,465.84 : x
  2. Step 2: Convert to fraction form
    307,293.94/424,093.49 = 186,465.84/x
  3. Step 3: Cross multiply
    307,293.94x = 424,093.49 × 186,465.84
  4. Step 4: Simplify right side
    307,293.94x = 79,078,948,851.38
  5. Step 5: Solve for x
    x = 79,078,948,851.38/307,293.94
  6. Step 6: Final answer
    x = 257,339.76

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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.