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Finding the Fourth Proportional to 472,186.38, 651,598.22 and 257,321.82

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Solution

The fourth proportional to 472,186.38, 651,598.22 and 257,321.82 is: 355,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,186.38 : 651,598.22 = 257,321.82 : x
  2. Step 2: Convert to fraction form
    472,186.38/651,598.22 = 257,321.82/x
  3. Step 3: Cross multiply
    472,186.38x = 651,598.22 × 257,321.82
  4. Step 4: Simplify right side
    472,186.38x = 167,670,439,879.16
  5. Step 5: Solve for x
    x = 167,670,439,879.16/472,186.38
  6. Step 6: Final answer
    x = 355,093.77

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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.