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Finding the Fourth Proportional to 595,714.20, 822,205.23 and 353,950.31

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Solution

The fourth proportional to 595,714.20, 822,205.23 and 353,950.31 is: 488,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,714.20 : 822,205.23 = 353,950.31 : x
  2. Step 2: Convert to fraction form
    595,714.20/822,205.23 = 353,950.31/x
  3. Step 3: Cross multiply
    595,714.20x = 822,205.23 × 353,950.31
  4. Step 4: Simplify right side
    595,714.20x = 291,019,794,136.39
  5. Step 5: Solve for x
    x = 291,019,794,136.39/595,714.20
  6. Step 6: Final answer
    x = 488,522.51

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1.5x scale

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.