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Finding the Fourth Proportional to 333,739.86, 460,558.28 and 180,774.52

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Solution

The fourth proportional to 333,739.86, 460,558.28 and 180,774.52 is: 249,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,739.86 : 460,558.28 = 180,774.52 : x
  2. Step 2: Convert to fraction form
    333,739.86/460,558.28 = 180,774.52/x
  3. Step 3: Cross multiply
    333,739.86x = 460,558.28 × 180,774.52
  4. Step 4: Simplify right side
    333,739.86x = 83,257,201,999.03
  5. Step 5: Solve for x
    x = 83,257,201,999.03/333,739.86
  6. Step 6: Final answer
    x = 249,467.36

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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.