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Finding the Fourth Proportional to 302,406, 417,320.32 and 164,585.44

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Solution

The fourth proportional to 302,406, 417,320.32 and 164,585.44 is: 227,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,406 : 417,320.32 = 164,585.44 : x
  2. Step 2: Convert to fraction form
    302,406/417,320.32 = 164,585.44/x
  3. Step 3: Cross multiply
    302,406x = 417,320.32 × 164,585.44
  4. Step 4: Simplify right side
    302,406x = 68,684,848,488.14
  5. Step 5: Solve for x
    x = 68,684,848,488.14/302,406
  6. Step 6: Final answer
    x = 227,127.93

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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.