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Finding the Fourth Proportional to 301,857.40, 416,543.07 and 165,888.40

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Solution

The fourth proportional to 301,857.40, 416,543.07 and 165,888.40 is: 228,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,857.40 : 416,543.07 = 165,888.40 : x
  2. Step 2: Convert to fraction form
    301,857.40/416,543.07 = 165,888.40/x
  3. Step 3: Cross multiply
    301,857.40x = 416,543.07 × 165,888.40
  4. Step 4: Simplify right side
    301,857.40x = 69,099,663,413.39
  5. Step 5: Solve for x
    x = 69,099,663,413.39/301,857.40
  6. Step 6: Final answer
    x = 228,914.92

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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.