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Finding the Fourth Proportional to 519,011.84, 778,428 and 234,636.27

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Solution

The fourth proportional to 519,011.84, 778,428 and 234,636.27 is: 351,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,011.84 : 778,428 = 234,636.27 : x
  2. Step 2: Convert to fraction form
    519,011.84/778,428 = 234,636.27/x
  3. Step 3: Cross multiply
    519,011.84x = 778,428 × 234,636.27
  4. Step 4: Simplify right side
    519,011.84x = 182,647,442,383.56
  5. Step 5: Solve for x
    x = 182,647,442,383.56/519,011.84
  6. Step 6: Final answer
    x = 351,913.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.