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Finding the Fourth Proportional to 543,447.40, 812,546.70 and 401,729.80

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Solution

The fourth proportional to 543,447.40, 812,546.70 and 401,729.80 is: 600,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,447.40 : 812,546.70 = 401,729.80 : x
  2. Step 2: Convert to fraction form
    543,447.40/812,546.70 = 401,729.80/x
  3. Step 3: Cross multiply
    543,447.40x = 812,546.70 × 401,729.80
  4. Step 4: Simplify right side
    543,447.40x = 326,424,223,281.66
  5. Step 5: Solve for x
    x = 326,424,223,281.66/543,447.40
  6. Step 6: Final answer
    x = 600,654.68

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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.