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Finding the Fourth Proportional to 333,688.14, 460,489.46 and 180,726.33

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Solution

The fourth proportional to 333,688.14, 460,489.46 and 180,726.33 is: 249,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,688.14 : 460,489.46 = 180,726.33 : x
  2. Step 2: Convert to fraction form
    333,688.14/460,489.46 = 180,726.33/x
  3. Step 3: Cross multiply
    333,688.14x = 460,489.46 × 180,726.33
  4. Step 4: Simplify right side
    333,688.14x = 83,222,569,205.85
  5. Step 5: Solve for x
    x = 83,222,569,205.85/333,688.14
  6. Step 6: Final answer
    x = 249,402.24

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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.