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Finding the Fourth Proportional to 301,867.84, 416,557.50 and 165,898.96

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Solution

The fourth proportional to 301,867.84, 416,557.50 and 165,898.96 is: 228,929.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,867.84 : 416,557.50 = 165,898.96 : x
  2. Step 2: Convert to fraction form
    301,867.84/416,557.50 = 165,898.96/x
  3. Step 3: Cross multiply
    301,867.84x = 416,557.50 × 165,898.96
  4. Step 4: Simplify right side
    301,867.84x = 69,106,456,030.20
  5. Step 5: Solve for x
    x = 69,106,456,030.20/301,867.84
  6. Step 6: Final answer
    x = 228,929.51

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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.