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Finding the Fourth Proportional to 477,085.82, 715,716.50 and 157,256.69

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Solution

The fourth proportional to 477,085.82, 715,716.50 and 157,256.69 is: 235,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,085.82 : 715,716.50 = 157,256.69 : x
  2. Step 2: Convert to fraction form
    477,085.82/715,716.50 = 157,256.69/x
  3. Step 3: Cross multiply
    477,085.82x = 715,716.50 × 157,256.69
  4. Step 4: Simplify right side
    477,085.82x = 112,551,203,403.52
  5. Step 5: Solve for x
    x = 112,551,203,403.52/477,085.82
  6. Step 6: Final answer
    x = 235,913.96

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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.