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Finding the Fourth Proportional to 333,543.48, 460,286.80 and 180,577.75

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Solution

The fourth proportional to 333,543.48, 460,286.80 and 180,577.75 is: 249,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,543.48 : 460,286.80 = 180,577.75 : x
  2. Step 2: Convert to fraction form
    333,543.48/460,286.80 = 180,577.75/x
  3. Step 3: Cross multiply
    333,543.48x = 460,286.80 × 180,577.75
  4. Step 4: Simplify right side
    333,543.48x = 83,117,553,096.54
  5. Step 5: Solve for x
    x = 83,117,553,096.54/333,543.48
  6. Step 6: Final answer
    x = 249,195.56

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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.