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Finding the Fourth Proportional to 377,596.84, 521,083.80 and 207,829.76

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Solution

The fourth proportional to 377,596.84, 521,083.80 and 207,829.76 is: 286,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,596.84 : 521,083.80 = 207,829.76 : x
  2. Step 2: Convert to fraction form
    377,596.84/521,083.80 = 207,829.76/x
  3. Step 3: Cross multiply
    377,596.84x = 521,083.80 × 207,829.76
  4. Step 4: Simplify right side
    377,596.84x = 108,296,721,093.89
  5. Step 5: Solve for x
    x = 108,296,721,093.89/377,596.84
  6. Step 6: Final answer
    x = 286,805.16

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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.