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Finding the Fourth Proportional to 362,951, 500,848.64 and 201,800.12

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Solution

The fourth proportional to 362,951, 500,848.64 and 201,800.12 is: 278,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,951 : 500,848.64 = 201,800.12 : x
  2. Step 2: Convert to fraction form
    362,951/500,848.64 = 201,800.12/x
  3. Step 3: Cross multiply
    362,951x = 500,848.64 × 201,800.12
  4. Step 4: Simplify right side
    362,951x = 101,071,315,653.84
  5. Step 5: Solve for x
    x = 101,071,315,653.84/362,951
  6. Step 6: Final answer
    x = 278,470.97

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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.