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Finding the Fourth Proportional to 477,643.96, 716,206.33 and 237,230.43

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Solution

The fourth proportional to 477,643.96, 716,206.33 and 237,230.43 is: 355,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,643.96 : 716,206.33 = 237,230.43 : x
  2. Step 2: Convert to fraction form
    477,643.96/716,206.33 = 237,230.43/x
  3. Step 3: Cross multiply
    477,643.96x = 716,206.33 × 237,230.43
  4. Step 4: Simplify right side
    477,643.96x = 169,905,935,634.62
  5. Step 5: Solve for x
    x = 169,905,935,634.62/477,643.96
  6. Step 6: Final answer
    x = 355,716.71

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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.