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Finding the Fourth Proportional to 477,518.63, 659,069.21 and 273,706.07

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Solution

The fourth proportional to 477,518.63, 659,069.21 and 273,706.07 is: 377,767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,518.63 : 659,069.21 = 273,706.07 : x
  2. Step 2: Convert to fraction form
    477,518.63/659,069.21 = 273,706.07/x
  3. Step 3: Cross multiply
    477,518.63x = 659,069.21 × 273,706.07
  4. Step 4: Simplify right side
    477,518.63x = 180,391,243,327.11
  5. Step 5: Solve for x
    x = 180,391,243,327.11/477,518.63
  6. Step 6: Final answer
    x = 377,767.97

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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.