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Finding the Fourth Proportional to 302,475.14, 417,425.12 and 164,663.28

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Solution

The fourth proportional to 302,475.14, 417,425.12 and 164,663.28 is: 227,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,475.14 : 417,425.12 = 164,663.28 : x
  2. Step 2: Convert to fraction form
    302,475.14/417,425.12 = 164,663.28/x
  3. Step 3: Cross multiply
    302,475.14x = 417,425.12 × 164,663.28
  4. Step 4: Simplify right side
    302,475.14x = 68,734,589,413.59
  5. Step 5: Solve for x
    x = 68,734,589,413.59/302,475.14
  6. Step 6: Final answer
    x = 227,240.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.