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Finding the Fourth Proportional to 334,019.64, 460,945.42 and 181,057.24

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Solution

The fourth proportional to 334,019.64, 460,945.42 and 181,057.24 is: 249,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,019.64 : 460,945.42 = 181,057.24 : x
  2. Step 2: Convert to fraction form
    334,019.64/460,945.42 = 181,057.24/x
  3. Step 3: Cross multiply
    334,019.64x = 460,945.42 × 181,057.24
  4. Step 4: Simplify right side
    334,019.64x = 83,457,505,535.84
  5. Step 5: Solve for x
    x = 83,457,505,535.84/334,019.64
  6. Step 6: Final answer
    x = 249,858.08

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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.