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Finding the Fourth Proportional to 302,739.84, 417,871.44 and 175,472.64

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Solution

The fourth proportional to 302,739.84, 417,871.44 and 175,472.64 is: 242,204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,739.84 : 417,871.44 = 175,472.64 : x
  2. Step 2: Convert to fraction form
    302,739.84/417,871.44 = 175,472.64/x
  3. Step 3: Cross multiply
    302,739.84x = 417,871.44 × 175,472.64
  4. Step 4: Simplify right side
    302,739.84x = 73,325,004,757.40
  5. Step 5: Solve for x
    x = 73,325,004,757.40/302,739.84
  6. Step 6: Final answer
    x = 242,204.68

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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.