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Finding the Fourth Proportional to 333,503.60, 460,231.82 and 180,537.87

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Solution

The fourth proportional to 333,503.60, 460,231.82 and 180,537.87 is: 249,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,503.60 : 460,231.82 = 180,537.87 : x
  2. Step 2: Convert to fraction form
    333,503.60/460,231.82 = 180,537.87/x
  3. Step 3: Cross multiply
    333,503.60x = 460,231.82 × 180,537.87
  4. Step 4: Simplify right side
    333,503.60x = 83,089,271,586.33
  5. Step 5: Solve for x
    x = 83,089,271,586.33/333,503.60
  6. Step 6: Final answer
    x = 249,140.56

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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.