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Finding the Fourth Proportional to 302,632.50, 417,507.54 and 180,100.38

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Solution

The fourth proportional to 302,632.50, 417,507.54 and 180,100.38 is: 248,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,632.50 : 417,507.54 = 180,100.38 : x
  2. Step 2: Convert to fraction form
    302,632.50/417,507.54 = 180,100.38/x
  3. Step 3: Cross multiply
    302,632.50x = 417,507.54 × 180,100.38
  4. Step 4: Simplify right side
    302,632.50x = 75,193,266,606.87
  5. Step 5: Solve for x
    x = 75,193,266,606.87/302,632.50
  6. Step 6: Final answer
    x = 248,463.95

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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.