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Finding the Fourth Proportional to 301,328.94, 415,828.13 and 165,362.34

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Solution

The fourth proportional to 301,328.94, 415,828.13 and 165,362.34 is: 228,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,328.94 : 415,828.13 = 165,362.34 : x
  2. Step 2: Convert to fraction form
    301,328.94/415,828.13 = 165,362.34/x
  3. Step 3: Cross multiply
    301,328.94x = 415,828.13 × 165,362.34
  4. Step 4: Simplify right side
    301,328.94x = 68,762,311,787.81
  5. Step 5: Solve for x
    x = 68,762,311,787.81/301,328.94
  6. Step 6: Final answer
    x = 228,196.84

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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.