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Finding the Fourth Proportional to 507,413.54, 700,231.53 and 277,965.80

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Solution

The fourth proportional to 507,413.54, 700,231.53 and 277,965.80 is: 383,593.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,413.54 : 700,231.53 = 277,965.80 : x
  2. Step 2: Convert to fraction form
    507,413.54/700,231.53 = 277,965.80/x
  3. Step 3: Cross multiply
    507,413.54x = 700,231.53 × 277,965.80
  4. Step 4: Simplify right side
    507,413.54x = 194,640,413,920.52
  5. Step 5: Solve for x
    x = 194,640,413,920.52/507,413.54
  6. Step 6: Final answer
    x = 383,593.26

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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.