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Finding the Fourth Proportional to 277,303.80, 416,127.90 and 177,535.60

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Solution

The fourth proportional to 277,303.80, 416,127.90 and 177,535.60 is: 266,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,303.80 : 416,127.90 = 177,535.60 : x
  2. Step 2: Convert to fraction form
    277,303.80/416,127.90 = 177,535.60/x
  3. Step 3: Cross multiply
    277,303.80x = 416,127.90 × 177,535.60
  4. Step 4: Simplify right side
    277,303.80x = 73,877,514,766.44
  5. Step 5: Solve for x
    x = 73,877,514,766.44/277,303.80
  6. Step 6: Final answer
    x = 266,413.64

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1.5x scale

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.