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Finding the Fourth Proportional to 341,854.40, 511,785 and 199,263.44

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Solution

The fourth proportional to 341,854.40, 511,785 and 199,263.44 is: 298,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,854.40 : 511,785 = 199,263.44 : x
  2. Step 2: Convert to fraction form
    341,854.40/511,785 = 199,263.44/x
  3. Step 3: Cross multiply
    341,854.40x = 511,785 × 199,263.44
  4. Step 4: Simplify right side
    341,854.40x = 101,980,039,640.40
  5. Step 5: Solve for x
    x = 101,980,039,640.40/341,854.40
  6. Step 6: Final answer
    x = 298,314.25

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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.