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Finding the Fourth Proportional to 333,872.48, 460,739.29 and 180,907.09

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Solution

The fourth proportional to 333,872.48, 460,739.29 and 180,907.09 is: 249,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,872.48 : 460,739.29 = 180,907.09 : x
  2. Step 2: Convert to fraction form
    333,872.48/460,739.29 = 180,907.09/x
  3. Step 3: Cross multiply
    333,872.48x = 460,739.29 × 180,907.09
  4. Step 4: Simplify right side
    333,872.48x = 83,351,003,298.03
  5. Step 5: Solve for x
    x = 83,351,003,298.03/333,872.48
  6. Step 6: Final answer
    x = 249,649.22

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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.