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Finding the Fourth Proportional to 433,576.83, 650,349.61 and 113,726.14

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Solution

The fourth proportional to 433,576.83, 650,349.61 and 113,726.14 is: 170,585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,576.83 : 650,349.61 = 113,726.14 : x
  2. Step 2: Convert to fraction form
    433,576.83/650,349.61 = 113,726.14/x
  3. Step 3: Cross multiply
    433,576.83x = 650,349.61 × 113,726.14
  4. Step 4: Simplify right side
    433,576.83x = 73,961,750,795.81
  5. Step 5: Solve for x
    x = 73,961,750,795.81/433,576.83
  6. Step 6: Final answer
    x = 170,585.11

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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.