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Finding the Fourth Proportional to 307,432.50, 461,216.88 and 94,229.88

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Solution

The fourth proportional to 307,432.50, 461,216.88 and 94,229.88 is: 141,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,432.50 : 461,216.88 = 94,229.88 : x
  2. Step 2: Convert to fraction form
    307,432.50/461,216.88 = 94,229.88/x
  3. Step 3: Cross multiply
    307,432.50x = 461,216.88 × 94,229.88
  4. Step 4: Simplify right side
    307,432.50x = 43,460,411,256.37
  5. Step 5: Solve for x
    x = 43,460,411,256.37/307,432.50
  6. Step 6: Final answer
    x = 141,365.70

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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.