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Finding the Fourth Proportional to 477,549.69, 716,170.10 and 157,629.69

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Solution

The fourth proportional to 477,549.69, 716,170.10 and 157,629.69 is: 236,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,549.69 : 716,170.10 = 157,629.69 : x
  2. Step 2: Convert to fraction form
    477,549.69/716,170.10 = 157,629.69/x
  3. Step 3: Cross multiply
    477,549.69x = 716,170.10 × 157,629.69
  4. Step 4: Simplify right side
    477,549.69x = 112,889,670,062.12
  5. Step 5: Solve for x
    x = 112,889,670,062.12/477,549.69
  6. Step 6: Final answer
    x = 236,393.56

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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.