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Finding the Fourth Proportional to 486,005.80, 729,008.70 and 273,429.40

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Solution

The fourth proportional to 486,005.80, 729,008.70 and 273,429.40 is: 410,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,005.80 : 729,008.70 = 273,429.40 : x
  2. Step 2: Convert to fraction form
    486,005.80/729,008.70 = 273,429.40/x
  3. Step 3: Cross multiply
    486,005.80x = 729,008.70 × 273,429.40
  4. Step 4: Simplify right side
    486,005.80x = 199,332,411,435.78
  5. Step 5: Solve for x
    x = 199,332,411,435.78/486,005.80
  6. Step 6: Final answer
    x = 410,144.10

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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.