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Finding the Fourth Proportional to 301,866.35, 416,548.44 and 165,898.80

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Solution

The fourth proportional to 301,866.35, 416,548.44 and 165,898.80 is: 228,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,866.35 : 416,548.44 = 165,898.80 : x
  2. Step 2: Convert to fraction form
    301,866.35/416,548.44 = 165,898.80/x
  3. Step 3: Cross multiply
    301,866.35x = 416,548.44 × 165,898.80
  4. Step 4: Simplify right side
    301,866.35x = 69,104,886,337.87
  5. Step 5: Solve for x
    x = 69,104,886,337.87/301,866.35
  6. Step 6: Final answer
    x = 228,925.44

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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.