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Finding the Fourth Proportional to 303,617.40, 419,028.93 and 176,293.02

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Solution

The fourth proportional to 303,617.40, 419,028.93 and 176,293.02 is: 243,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,617.40 : 419,028.93 = 176,293.02 : x
  2. Step 2: Convert to fraction form
    303,617.40/419,028.93 = 176,293.02/x
  3. Step 3: Cross multiply
    303,617.40x = 419,028.93 × 176,293.02
  4. Step 4: Simplify right side
    303,617.40x = 73,871,875,537.07
  5. Step 5: Solve for x
    x = 73,871,875,537.07/303,617.40
  6. Step 6: Final answer
    x = 243,305.80

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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.