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Finding the Fourth Proportional to 519,012.34, 778,428.75 and 234,636.77

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Solution

The fourth proportional to 519,012.34, 778,428.75 and 234,636.77 is: 351,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,012.34 : 778,428.75 = 234,636.77 : x
  2. Step 2: Convert to fraction form
    519,012.34/778,428.75 = 234,636.77/x
  3. Step 3: Cross multiply
    519,012.34x = 778,428.75 × 234,636.77
  4. Step 4: Simplify right side
    519,012.34x = 182,648,007,575.14
  5. Step 5: Solve for x
    x = 182,648,007,575.14/519,012.34
  6. Step 6: Final answer
    x = 351,914.58

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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.