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Finding the Fourth Proportional to 370,567.44, 511,382.16 and 200,804.40

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Solution

The fourth proportional to 370,567.44, 511,382.16 and 200,804.40 is: 277,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,567.44 : 511,382.16 = 200,804.40 : x
  2. Step 2: Convert to fraction form
    370,567.44/511,382.16 = 200,804.40/x
  3. Step 3: Cross multiply
    370,567.44x = 511,382.16 × 200,804.40
  4. Step 4: Simplify right side
    370,567.44x = 102,687,787,809.50
  5. Step 5: Solve for x
    x = 102,687,787,809.50/370,567.44
  6. Step 6: Final answer
    x = 277,109.58

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1.5x scale

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.