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Finding the Fourth Proportional to 519,098.30, 778,866.15 and 282,610.70

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Solution

The fourth proportional to 519,098.30, 778,866.15 and 282,610.70 is: 424,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,098.30 : 778,866.15 = 282,610.70 : x
  2. Step 2: Convert to fraction form
    519,098.30/778,866.15 = 282,610.70/x
  3. Step 3: Cross multiply
    519,098.30x = 778,866.15 × 282,610.70
  4. Step 4: Simplify right side
    519,098.30x = 220,115,907,857.81
  5. Step 5: Solve for x
    x = 220,115,907,857.81/519,098.30
  6. Step 6: Final answer
    x = 424,035.12

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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.