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Finding the Fourth Proportional to 421,443, 581,591.88 and 230,455.80

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Solution

The fourth proportional to 421,443, 581,591.88 and 230,455.80 is: 318,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,443 : 581,591.88 = 230,455.80 : x
  2. Step 2: Convert to fraction form
    421,443/581,591.88 = 230,455.80/x
  3. Step 3: Cross multiply
    421,443x = 581,591.88 × 230,455.80
  4. Step 4: Simplify right side
    421,443x = 134,031,221,978.90
  5. Step 5: Solve for x
    x = 134,031,221,978.90/421,443
  6. Step 6: Final answer
    x = 318,029.30

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