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Finding the Fourth Proportional to 333,377.37, 460,057.25 and 180,412.25

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Solution

The fourth proportional to 333,377.37, 460,057.25 and 180,412.25 is: 248,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,377.37 : 460,057.25 = 180,412.25 : x
  2. Step 2: Convert to fraction form
    333,377.37/460,057.25 = 180,412.25/x
  3. Step 3: Cross multiply
    333,377.37x = 460,057.25 × 180,412.25
  4. Step 4: Simplify right side
    333,377.37x = 82,999,961,752.06
  5. Step 5: Solve for x
    x = 82,999,961,752.06/333,377.37
  6. Step 6: Final answer
    x = 248,966.99

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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.