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Finding the Fourth Proportional to 477,409.34, 716,198.76 and 157,578.82

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Solution

The fourth proportional to 477,409.34, 716,198.76 and 157,578.82 is: 236,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,409.34 : 716,198.76 = 157,578.82 : x
  2. Step 2: Convert to fraction form
    477,409.34/716,198.76 = 157,578.82/x
  3. Step 3: Cross multiply
    477,409.34x = 716,198.76 × 157,578.82
  4. Step 4: Simplify right side
    477,409.34x = 112,857,753,695.77
  5. Step 5: Solve for x
    x = 112,857,753,695.77/477,409.34
  6. Step 6: Final answer
    x = 236,396.20

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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.