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Finding the Fourth Proportional to 333,866.31, 460,735.91 and 180,904.38

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Solution

The fourth proportional to 333,866.31, 460,735.91 and 180,904.38 is: 249,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,866.31 : 460,735.91 = 180,904.38 : x
  2. Step 2: Convert to fraction form
    333,866.31/460,735.91 = 180,904.38/x
  3. Step 3: Cross multiply
    333,866.31x = 460,735.91 × 180,904.38
  4. Step 4: Simplify right side
    333,866.31x = 83,349,144,142.29
  5. Step 5: Solve for x
    x = 83,349,144,142.29/333,866.31
  6. Step 6: Final answer
    x = 249,648.26

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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.