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Finding the Fourth Proportional to 472,236.96, 651,678.48 and 257,375.52

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Solution

The fourth proportional to 472,236.96, 651,678.48 and 257,375.52 is: 355,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,236.96 : 651,678.48 = 257,375.52 : x
  2. Step 2: Convert to fraction form
    472,236.96/651,678.48 = 257,375.52/x
  3. Step 3: Cross multiply
    472,236.96x = 651,678.48 × 257,375.52
  4. Step 4: Simplify right side
    472,236.96x = 167,726,087,662.81
  5. Step 5: Solve for x
    x = 167,726,087,662.81/472,236.96
  6. Step 6: Final answer
    x = 355,173.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.