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Finding the Fourth Proportional to 569,101.90, 851,809.65 and 403,213.90

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Solution

The fourth proportional to 569,101.90, 851,809.65 and 403,213.90 is: 603,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,101.90 : 851,809.65 = 403,213.90 : x
  2. Step 2: Convert to fraction form
    569,101.90/851,809.65 = 403,213.90/x
  3. Step 3: Cross multiply
    569,101.90x = 851,809.65 × 403,213.90
  4. Step 4: Simplify right side
    569,101.90x = 343,461,491,034.14
  5. Step 5: Solve for x
    x = 343,461,491,034.14/569,101.90
  6. Step 6: Final answer
    x = 603,514.93

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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.