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Finding the Fourth Proportional to 333,745.88, 460,566.56 and 180,780.52

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Solution

The fourth proportional to 333,745.88, 460,566.56 and 180,780.52 is: 249,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,745.88 : 460,566.56 = 180,780.52 : x
  2. Step 2: Convert to fraction form
    333,745.88/460,566.56 = 180,780.52/x
  3. Step 3: Cross multiply
    333,745.88x = 460,566.56 × 180,780.52
  4. Step 4: Simplify right side
    333,745.88x = 83,261,462,211.41
  5. Step 5: Solve for x
    x = 83,261,462,211.41/333,745.88
  6. Step 6: Final answer
    x = 249,475.63

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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.