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Finding the Fourth Proportional to 397,265.40, 595,898.10 and 353,719.80

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Solution

The fourth proportional to 397,265.40, 595,898.10 and 353,719.80 is: 530,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,265.40 : 595,898.10 = 353,719.80 : x
  2. Step 2: Convert to fraction form
    397,265.40/595,898.10 = 353,719.80/x
  3. Step 3: Cross multiply
    397,265.40x = 595,898.10 × 353,719.80
  4. Step 4: Simplify right side
    397,265.40x = 210,780,956,752.38
  5. Step 5: Solve for x
    x = 210,780,956,752.38/397,265.40
  6. Step 6: Final answer
    x = 530,579.70

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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.