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Finding the Fourth Proportional to 291,258.22, 401,729.29 and 194,413.25

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Solution

The fourth proportional to 291,258.22, 401,729.29 and 194,413.25 is: 268,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,258.22 : 401,729.29 = 194,413.25 : x
  2. Step 2: Convert to fraction form
    291,258.22/401,729.29 = 194,413.25/x
  3. Step 3: Cross multiply
    291,258.22x = 401,729.29 × 194,413.25
  4. Step 4: Simplify right side
    291,258.22x = 78,101,495,010.02
  5. Step 5: Solve for x
    x = 78,101,495,010.02/291,258.22
  6. Step 6: Final answer
    x = 268,152.07

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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.