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Finding the Fourth Proportional to 277,819.32, 416,728.98 and 184,507.32

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Solution

The fourth proportional to 277,819.32, 416,728.98 and 184,507.32 is: 276,760.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,819.32 : 416,728.98 = 184,507.32 : x
  2. Step 2: Convert to fraction form
    277,819.32/416,728.98 = 184,507.32/x
  3. Step 3: Cross multiply
    277,819.32x = 416,728.98 × 184,507.32
  4. Step 4: Simplify right side
    277,819.32x = 76,889,547,266.13
  5. Step 5: Solve for x
    x = 76,889,547,266.13/277,819.32
  6. Step 6: Final answer
    x = 276,760.98

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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.