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Finding the Fourth Proportional to 433,131.94, 649,808.64 and 180,328.40

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Solution

The fourth proportional to 433,131.94, 649,808.64 and 180,328.40 is: 270,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,131.94 : 649,808.64 = 180,328.40 : x
  2. Step 2: Convert to fraction form
    433,131.94/649,808.64 = 180,328.40/x
  3. Step 3: Cross multiply
    433,131.94x = 649,808.64 × 180,328.40
  4. Step 4: Simplify right side
    433,131.94x = 117,178,952,357.38
  5. Step 5: Solve for x
    x = 117,178,952,357.38/433,131.94
  6. Step 6: Final answer
    x = 270,538.70

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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.