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Finding the Fourth Proportional to 463,798.70, 695,413.74 and 197,407.52

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Solution

The fourth proportional to 463,798.70, 695,413.74 and 197,407.52 is: 295,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,798.70 : 695,413.74 = 197,407.52 : x
  2. Step 2: Convert to fraction form
    463,798.70/695,413.74 = 197,407.52/x
  3. Step 3: Cross multiply
    463,798.70x = 695,413.74 × 197,407.52
  4. Step 4: Simplify right side
    463,798.70x = 137,279,901,787.33
  5. Step 5: Solve for x
    x = 137,279,901,787.33/463,798.70
  6. Step 6: Final answer
    x = 295,990.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.