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Finding the Fourth Proportional to 431,532.35, 595,769.80 and 383,653.22

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Solution

The fourth proportional to 431,532.35, 595,769.80 and 383,653.22 is: 529,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,532.35 : 595,769.80 = 383,653.22 : x
  2. Step 2: Convert to fraction form
    431,532.35/595,769.80 = 383,653.22/x
  3. Step 3: Cross multiply
    431,532.35x = 595,769.80 × 383,653.22
  4. Step 4: Simplify right side
    431,532.35x = 228,569,002,148.76
  5. Step 5: Solve for x
    x = 228,569,002,148.76/431,532.35
  6. Step 6: Final answer
    x = 529,668.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.