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Finding the Fourth Proportional to 361,243.01, 498,493.42 and 200,088.65

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Solution

The fourth proportional to 361,243.01, 498,493.42 and 200,088.65 is: 276,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,243.01 : 498,493.42 = 200,088.65 : x
  2. Step 2: Convert to fraction form
    361,243.01/498,493.42 = 200,088.65/x
  3. Step 3: Cross multiply
    361,243.01x = 498,493.42 × 200,088.65
  4. Step 4: Simplify right side
    361,243.01x = 99,742,875,441.68
  5. Step 5: Solve for x
    x = 99,742,875,441.68/361,243.01
  6. Step 6: Final answer
    x = 276,110.19

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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.