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Finding the Fourth Proportional to 519,860.44, 778,016.40 and 435,715.66

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Solution

The fourth proportional to 519,860.44, 778,016.40 and 435,715.66 is: 652,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,860.44 : 778,016.40 = 435,715.66 : x
  2. Step 2: Convert to fraction form
    519,860.44/778,016.40 = 435,715.66/x
  3. Step 3: Cross multiply
    519,860.44x = 778,016.40 × 435,715.66
  4. Step 4: Simplify right side
    519,860.44x = 338,993,929,216.82
  5. Step 5: Solve for x
    x = 338,993,929,216.82/519,860.44
  6. Step 6: Final answer
    x = 652,086.41

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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.