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Finding the Fourth Proportional to 314,576.10, 470,942.55 and 277,712.10

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Solution

The fourth proportional to 314,576.10, 470,942.55 and 277,712.10 is: 415,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,576.10 : 470,942.55 = 277,712.10 : x
  2. Step 2: Convert to fraction form
    314,576.10/470,942.55 = 277,712.10/x
  3. Step 3: Cross multiply
    314,576.10x = 470,942.55 × 277,712.10
  4. Step 4: Simplify right side
    314,576.10x = 130,786,444,539.86
  5. Step 5: Solve for x
    x = 130,786,444,539.86/314,576.10
  6. Step 6: Final answer
    x = 415,754.55

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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.