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Finding the Fourth Proportional to 302,713.40, 417,762.46 and 173,651.01

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Solution

The fourth proportional to 302,713.40, 417,762.46 and 173,651.01 is: 239,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,713.40 : 417,762.46 = 173,651.01 : x
  2. Step 2: Convert to fraction form
    302,713.40/417,762.46 = 173,651.01/x
  3. Step 3: Cross multiply
    302,713.40x = 417,762.46 × 173,651.01
  4. Step 4: Simplify right side
    302,713.40x = 72,544,871,769.54
  5. Step 5: Solve for x
    x = 72,544,871,769.54/302,713.40
  6. Step 6: Final answer
    x = 239,648.69

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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.