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Finding the Fourth Proportional to 362,698.36, 500,491.88 and 201,543.20

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Solution

The fourth proportional to 362,698.36, 500,491.88 and 201,543.20 is: 278,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,698.36 : 500,491.88 = 201,543.20 : x
  2. Step 2: Convert to fraction form
    362,698.36/500,491.88 = 201,543.20/x
  3. Step 3: Cross multiply
    362,698.36x = 500,491.88 × 201,543.20
  4. Step 4: Simplify right side
    362,698.36x = 100,870,735,069.22
  5. Step 5: Solve for x
    x = 100,870,735,069.22/362,698.36
  6. Step 6: Final answer
    x = 278,111.91

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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.