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Finding the Fourth Proportional to 333,724.68, 460,536.24 and 180,759.96

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Solution

The fourth proportional to 333,724.68, 460,536.24 and 180,759.96 is: 249,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,724.68 : 460,536.24 = 180,759.96 : x
  2. Step 2: Convert to fraction form
    333,724.68/460,536.24 = 180,759.96/x
  3. Step 3: Cross multiply
    333,724.68x = 460,536.24 × 180,759.96
  4. Step 4: Simplify right side
    333,724.68x = 83,246,512,320.95
  5. Step 5: Solve for x
    x = 83,246,512,320.95/333,724.68
  6. Step 6: Final answer
    x = 249,446.68

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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.