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Finding the Fourth Proportional to 569,234.40, 853,851.60 and 534,213.60

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Solution

The fourth proportional to 569,234.40, 853,851.60 and 534,213.60 is: 801,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,234.40 : 853,851.60 = 534,213.60 : x
  2. Step 2: Convert to fraction form
    569,234.40/853,851.60 = 534,213.60/x
  3. Step 3: Cross multiply
    569,234.40x = 853,851.60 × 534,213.60
  4. Step 4: Simplify right side
    569,234.40x = 456,139,137,101.76
  5. Step 5: Solve for x
    x = 456,139,137,101.76/569,234.40
  6. Step 6: Final answer
    x = 801,320.40

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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.