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Finding the Fourth Proportional to 477,903.42, 716,684.38 and 157,996.24

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Solution

The fourth proportional to 477,903.42, 716,684.38 and 157,996.24 is: 236,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,903.42 : 716,684.38 = 157,996.24 : x
  2. Step 2: Convert to fraction form
    477,903.42/716,684.38 = 157,996.24/x
  3. Step 3: Cross multiply
    477,903.42x = 716,684.38 × 157,996.24
  4. Step 4: Simplify right side
    477,903.42x = 113,233,435,120.03
  5. Step 5: Solve for x
    x = 113,233,435,120.03/477,903.42
  6. Step 6: Final answer
    x = 236,937.90

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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.