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Finding the Fourth Proportional to 277,818.22, 416,289.51 and 214,792.06

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Solution

The fourth proportional to 277,818.22, 416,289.51 and 214,792.06 is: 321,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,818.22 : 416,289.51 = 214,792.06 : x
  2. Step 2: Convert to fraction form
    277,818.22/416,289.51 = 214,792.06/x
  3. Step 3: Cross multiply
    277,818.22x = 416,289.51 × 214,792.06
  4. Step 4: Simplify right side
    277,818.22x = 89,415,681,409.29
  5. Step 5: Solve for x
    x = 89,415,681,409.29/277,818.22
  6. Step 6: Final answer
    x = 321,849.59

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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.