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Finding the Fourth Proportional to 595,698.71, 822,044.09 and 341,000.69

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Solution

The fourth proportional to 595,698.71, 822,044.09 and 341,000.69 is: 470,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,698.71 : 822,044.09 = 341,000.69 : x
  2. Step 2: Convert to fraction form
    595,698.71/822,044.09 = 341,000.69/x
  3. Step 3: Cross multiply
    595,698.71x = 822,044.09 × 341,000.69
  4. Step 4: Simplify right side
    595,698.71x = 280,317,598,642.70
  5. Step 5: Solve for x
    x = 280,317,598,642.70/595,698.71
  6. Step 6: Final answer
    x = 470,569.43

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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.