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Finding the Fourth Proportional to 289,363.80, 433,899.90 and 171,071.40

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Solution

The fourth proportional to 289,363.80, 433,899.90 and 171,071.40 is: 256,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,363.80 : 433,899.90 = 171,071.40 : x
  2. Step 2: Convert to fraction form
    289,363.80/433,899.90 = 171,071.40/x
  3. Step 3: Cross multiply
    289,363.80x = 433,899.90 × 171,071.40
  4. Step 4: Simplify right side
    289,363.80x = 74,227,863,352.86
  5. Step 5: Solve for x
    x = 74,227,863,352.86/289,363.80
  6. Step 6: Final answer
    x = 256,520.90

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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.