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Finding the Fourth Proportional to 486,002.70, 729,004.05 and 276,050.70

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Solution

The fourth proportional to 486,002.70, 729,004.05 and 276,050.70 is: 414,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,002.70 : 729,004.05 = 276,050.70 : x
  2. Step 2: Convert to fraction form
    486,002.70/729,004.05 = 276,050.70/x
  3. Step 3: Cross multiply
    486,002.70x = 729,004.05 × 276,050.70
  4. Step 4: Simplify right side
    486,002.70x = 201,242,078,305.34
  5. Step 5: Solve for x
    x = 201,242,078,305.34/486,002.70
  6. Step 6: Final answer
    x = 414,076.05

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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.