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Finding the Fourth Proportional to 333,500.28, 460,229.86 and 180,538.43

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Solution

The fourth proportional to 333,500.28, 460,229.86 and 180,538.43 is: 249,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,500.28 : 460,229.86 = 180,538.43 : x
  2. Step 2: Convert to fraction form
    333,500.28/460,229.86 = 180,538.43/x
  3. Step 3: Cross multiply
    333,500.28x = 460,229.86 × 180,538.43
  4. Step 4: Simplify right side
    333,500.28x = 83,089,176,363.52
  5. Step 5: Solve for x
    x = 83,089,176,363.52/333,500.28
  6. Step 6: Final answer
    x = 249,142.75

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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.