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Finding the Fourth Proportional to 433,689.86, 650,567.70 and 134,200.72

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Solution

The fourth proportional to 433,689.86, 650,567.70 and 134,200.72 is: 201,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,689.86 : 650,567.70 = 134,200.72 : x
  2. Step 2: Convert to fraction form
    433,689.86/650,567.70 = 134,200.72/x
  3. Step 3: Cross multiply
    433,689.86x = 650,567.70 × 134,200.72
  4. Step 4: Simplify right side
    433,689.86x = 87,306,650,902.51
  5. Step 5: Solve for x
    x = 87,306,650,902.51/433,689.86
  6. Step 6: Final answer
    x = 201,311.26

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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.