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Finding the Fourth Proportional to 315,883.64, 435,918.36 and 172,643.64

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Solution

The fourth proportional to 315,883.64, 435,918.36 and 172,643.64 is: 238,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,883.64 : 435,918.36 = 172,643.64 : x
  2. Step 2: Convert to fraction form
    315,883.64/435,918.36 = 172,643.64/x
  3. Step 3: Cross multiply
    315,883.64x = 435,918.36 × 172,643.64
  4. Step 4: Simplify right side
    315,883.64x = 75,258,532,413.23
  5. Step 5: Solve for x
    x = 75,258,532,413.23/315,883.64
  6. Step 6: Final answer
    x = 238,247.64

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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.