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Finding the Fourth Proportional to 338,477.94, 507,585.69 and 180,620.28

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Solution

The fourth proportional to 338,477.94, 507,585.69 and 180,620.28 is: 270,860.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,477.94 : 507,585.69 = 180,620.28 : x
  2. Step 2: Convert to fraction form
    338,477.94/507,585.69 = 180,620.28/x
  3. Step 3: Cross multiply
    338,477.94x = 507,585.69 × 180,620.28
  4. Step 4: Simplify right side
    338,477.94x = 91,680,269,451.79
  5. Step 5: Solve for x
    x = 91,680,269,451.79/338,477.94
  6. Step 6: Final answer
    x = 270,860.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.