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Finding the Fourth Proportional to 477,904.42, 716,685.88 and 157,997.24

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Solution

The fourth proportional to 477,904.42, 716,685.88 and 157,997.24 is: 236,939.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,904.42 : 716,685.88 = 157,997.24 : x
  2. Step 2: Convert to fraction form
    477,904.42/716,685.88 = 157,997.24/x
  3. Step 3: Cross multiply
    477,904.42x = 716,685.88 × 157,997.24
  4. Step 4: Simplify right side
    477,904.42x = 113,234,390,986.97
  5. Step 5: Solve for x
    x = 113,234,390,986.97/477,904.42
  6. Step 6: Final answer
    x = 236,939.41

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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.