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Finding the Fourth Proportional to 399,266.06, 598,603.80 and 188,657.96

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Solution

The fourth proportional to 399,266.06, 598,603.80 and 188,657.96 is: 282,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,266.06 : 598,603.80 = 188,657.96 : x
  2. Step 2: Convert to fraction form
    399,266.06/598,603.80 = 188,657.96/x
  3. Step 3: Cross multiply
    399,266.06x = 598,603.80 × 188,657.96
  4. Step 4: Simplify right side
    399,266.06x = 112,931,371,756.25
  5. Step 5: Solve for x
    x = 112,931,371,756.25/399,266.06
  6. Step 6: Final answer
    x = 282,847.41

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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.