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Finding the Fourth Proportional to 261,137.85, 358,023.34 and 256,413.93

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Solution

The fourth proportional to 261,137.85, 358,023.34 and 256,413.93 is: 351,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,137.85 : 358,023.34 = 256,413.93 : x
  2. Step 2: Convert to fraction form
    261,137.85/358,023.34 = 256,413.93/x
  3. Step 3: Cross multiply
    261,137.85x = 358,023.34 × 256,413.93
  4. Step 4: Simplify right side
    261,137.85x = 91,802,171,641.13
  5. Step 5: Solve for x
    x = 91,802,171,641.13/261,137.85
  6. Step 6: Final answer
    x = 351,546.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.