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Finding the Fourth Proportional to 361,457.19, 498,812.22 and 200,314.98

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Solution

The fourth proportional to 361,457.19, 498,812.22 and 200,314.98 is: 276,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,457.19 : 498,812.22 = 200,314.98 : x
  2. Step 2: Convert to fraction form
    361,457.19/498,812.22 = 200,314.98/x
  3. Step 3: Cross multiply
    361,457.19x = 498,812.22 × 200,314.98
  4. Step 4: Simplify right side
    361,457.19x = 99,919,559,873.06
  5. Step 5: Solve for x
    x = 99,919,559,873.06/361,457.19
  6. Step 6: Final answer
    x = 276,435.39

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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.