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Finding the Fourth Proportional to 301,855.26, 416,559.96 and 165,897.93

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Solution

The fourth proportional to 301,855.26, 416,559.96 and 165,897.93 is: 228,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,855.26 : 416,559.96 = 165,897.93 : x
  2. Step 2: Convert to fraction form
    301,855.26/416,559.96 = 165,897.93/x
  3. Step 3: Cross multiply
    301,855.26x = 416,559.96 × 165,897.93
  4. Step 4: Simplify right side
    301,855.26x = 69,106,435,084.88
  5. Step 5: Solve for x
    x = 69,106,435,084.88/301,855.26
  6. Step 6: Final answer
    x = 228,938.98

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1.5x scale

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.