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Finding the Fourth Proportional to 307,249.86, 460,541.88 and 157,284.48

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Solution

The fourth proportional to 307,249.86, 460,541.88 and 157,284.48 is: 235,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,249.86 : 460,541.88 = 157,284.48 : x
  2. Step 2: Convert to fraction form
    307,249.86/460,541.88 = 157,284.48/x
  3. Step 3: Cross multiply
    307,249.86x = 460,541.88 × 157,284.48
  4. Step 4: Simplify right side
    307,249.86x = 72,436,090,114.02
  5. Step 5: Solve for x
    x = 72,436,090,114.02/307,249.86
  6. Step 6: Final answer
    x = 235,756.30

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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.