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Finding the Fourth Proportional to 472,204.94, 651,665.93 and 265,538.38

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Solution

The fourth proportional to 472,204.94, 651,665.93 and 265,538.38 is: 366,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,204.94 : 651,665.93 = 265,538.38 : x
  2. Step 2: Convert to fraction form
    472,204.94/651,665.93 = 265,538.38/x
  3. Step 3: Cross multiply
    472,204.94x = 651,665.93 × 265,538.38
  4. Step 4: Simplify right side
    472,204.94x = 173,042,314,025.70
  5. Step 5: Solve for x
    x = 173,042,314,025.70/472,204.94
  6. Step 6: Final answer
    x = 366,455.96

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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.