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Finding the Fourth Proportional to 370,078.70, 510,738.27 and 294,223.79

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Solution

The fourth proportional to 370,078.70, 510,738.27 and 294,223.79 is: 406,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,078.70 : 510,738.27 = 294,223.79 : x
  2. Step 2: Convert to fraction form
    370,078.70/510,738.27 = 294,223.79/x
  3. Step 3: Cross multiply
    370,078.70x = 510,738.27 × 294,223.79
  4. Step 4: Simplify right side
    370,078.70x = 150,271,346,943.75
  5. Step 5: Solve for x
    x = 150,271,346,943.75/370,078.70
  6. Step 6: Final answer
    x = 406,052.41

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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.