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Finding the Fourth Proportional to 333,917.96, 460,798.67 and 180,949.46

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Solution

The fourth proportional to 333,917.96, 460,798.67 and 180,949.46 is: 249,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,917.96 : 460,798.67 = 180,949.46 : x
  2. Step 2: Convert to fraction form
    333,917.96/460,798.67 = 180,949.46/x
  3. Step 3: Cross multiply
    333,917.96x = 460,798.67 × 180,949.46
  4. Step 4: Simplify right side
    333,917.96x = 83,381,268,653.60
  5. Step 5: Solve for x
    x = 83,381,268,653.60/333,917.96
  6. Step 6: Final answer
    x = 249,705.86

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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.