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Finding the Fourth Proportional to 459,822.04, 634,194.94 and 298,729

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Solution

The fourth proportional to 459,822.04, 634,194.94 and 298,729 is: 412,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,822.04 : 634,194.94 = 298,729 : x
  2. Step 2: Convert to fraction form
    459,822.04/634,194.94 = 298,729/x
  3. Step 3: Cross multiply
    459,822.04x = 634,194.94 × 298,729
  4. Step 4: Simplify right side
    459,822.04x = 189,452,420,231.26
  5. Step 5: Solve for x
    x = 189,452,420,231.26/459,822.04
  6. Step 6: Final answer
    x = 412,012.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.