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Finding the Fourth Proportional to 477,638.94, 716,508.53 and 237,812.32

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Solution

The fourth proportional to 477,638.94, 716,508.53 and 237,812.32 is: 356,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,638.94 : 716,508.53 = 237,812.32 : x
  2. Step 2: Convert to fraction form
    477,638.94/716,508.53 = 237,812.32/x
  3. Step 3: Cross multiply
    477,638.94x = 716,508.53 × 237,812.32
  4. Step 4: Simplify right side
    477,638.94x = 170,394,555,819.09
  5. Step 5: Solve for x
    x = 170,394,555,819.09/477,638.94
  6. Step 6: Final answer
    x = 356,743.43

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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.