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Finding the Fourth Proportional to 261,173.16, 360,622.26 and 200,647.80

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Solution

The fourth proportional to 261,173.16, 360,622.26 and 200,647.80 is: 277,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,173.16 : 360,622.26 = 200,647.80 : x
  2. Step 2: Convert to fraction form
    261,173.16/360,622.26 = 200,647.80/x
  3. Step 3: Cross multiply
    261,173.16x = 360,622.26 × 200,647.80
  4. Step 4: Simplify right side
    261,173.16x = 72,358,063,100.03
  5. Step 5: Solve for x
    x = 72,358,063,100.03/261,173.16
  6. Step 6: Final answer
    x = 277,050.15

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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.