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Finding the Fourth Proportional to 502,023.10, 753,617.85 and 302,568.70

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Solution

The fourth proportional to 502,023.10, 753,617.85 and 302,568.70 is: 454,204.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,023.10 : 753,617.85 = 302,568.70 : x
  2. Step 2: Convert to fraction form
    502,023.10/753,617.85 = 302,568.70/x
  3. Step 3: Cross multiply
    502,023.10x = 753,617.85 × 302,568.70
  4. Step 4: Simplify right side
    502,023.10x = 228,021,173,171.30
  5. Step 5: Solve for x
    x = 228,021,173,171.30/502,023.10
  6. Step 6: Final answer
    x = 454,204.54

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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.