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Finding the Fourth Proportional to 277,994.24, 383,622.72 and 164,749.76

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Solution

The fourth proportional to 277,994.24, 383,622.72 and 164,749.76 is: 227,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,994.24 : 383,622.72 = 164,749.76 : x
  2. Step 2: Convert to fraction form
    277,994.24/383,622.72 = 164,749.76/x
  3. Step 3: Cross multiply
    277,994.24x = 383,622.72 × 164,749.76
  4. Step 4: Simplify right side
    277,994.24x = 63,201,751,050.55
  5. Step 5: Solve for x
    x = 63,201,751,050.55/277,994.24
  6. Step 6: Final answer
    x = 227,349.14

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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.