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Finding the Fourth Proportional to 302,472.48, 417,413.48 and 166,520.08

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Solution

The fourth proportional to 302,472.48, 417,413.48 and 166,520.08 is: 229,798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,472.48 : 417,413.48 = 166,520.08 : x
  2. Step 2: Convert to fraction form
    302,472.48/417,413.48 = 166,520.08/x
  3. Step 3: Cross multiply
    302,472.48x = 417,413.48 × 166,520.08
  4. Step 4: Simplify right side
    302,472.48x = 69,507,726,082.68
  5. Step 5: Solve for x
    x = 69,507,726,082.68/302,472.48
  6. Step 6: Final answer
    x = 229,798.51

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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.