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Finding the Fourth Proportional to 380,804.88, 525,516.49 and 208,721.46

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Solution

The fourth proportional to 380,804.88, 525,516.49 and 208,721.46 is: 288,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,804.88 : 525,516.49 = 208,721.46 : x
  2. Step 2: Convert to fraction form
    380,804.88/525,516.49 = 208,721.46/x
  3. Step 3: Cross multiply
    380,804.88x = 525,516.49 × 208,721.46
  4. Step 4: Simplify right side
    380,804.88x = 109,686,569,046.88
  5. Step 5: Solve for x
    x = 109,686,569,046.88/380,804.88
  6. Step 6: Final answer
    x = 288,038.77

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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.