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Finding the Fourth Proportional to 377,872.65, 521,440.58 and 208,106.78

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Solution

The fourth proportional to 377,872.65, 521,440.58 and 208,106.78 is: 287,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,872.65 : 521,440.58 = 208,106.78 : x
  2. Step 2: Convert to fraction form
    377,872.65/521,440.58 = 208,106.78/x
  3. Step 3: Cross multiply
    377,872.65x = 521,440.58 × 208,106.78
  4. Step 4: Simplify right side
    377,872.65x = 108,515,316,417.40
  5. Step 5: Solve for x
    x = 108,515,316,417.40/377,872.65
  6. Step 6: Final answer
    x = 287,174.31

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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.