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Finding the Fourth Proportional to 333,961.17, 460,868 and 180,999.31

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Solution

The fourth proportional to 333,961.17, 460,868 and 180,999.31 is: 249,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,961.17 : 460,868 = 180,999.31 : x
  2. Step 2: Convert to fraction form
    333,961.17/460,868 = 180,999.31/x
  3. Step 3: Cross multiply
    333,961.17x = 460,868 × 180,999.31
  4. Step 4: Simplify right side
    333,961.17x = 83,416,790,001.08
  5. Step 5: Solve for x
    x = 83,416,790,001.08/333,961.17
  6. Step 6: Final answer
    x = 249,779.91

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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.