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Finding the Fourth Proportional to 433,339.52, 649,656.96 and 180,808.11

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Solution

The fourth proportional to 433,339.52, 649,656.96 and 180,808.11 is: 271,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,339.52 : 649,656.96 = 180,808.11 : x
  2. Step 2: Convert to fraction form
    433,339.52/649,656.96 = 180,808.11/x
  3. Step 3: Cross multiply
    433,339.52x = 649,656.96 × 180,808.11
  4. Step 4: Simplify right side
    433,339.52x = 117,463,243,837.66
  5. Step 5: Solve for x
    x = 117,463,243,837.66/433,339.52
  6. Step 6: Final answer
    x = 271,065.16

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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.