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Finding the Fourth Proportional to 543,631.40, 812,822.70 and 401,913.80

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Solution

The fourth proportional to 543,631.40, 812,822.70 and 401,913.80 is: 600,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,631.40 : 812,822.70 = 401,913.80 : x
  2. Step 2: Convert to fraction form
    543,631.40/812,822.70 = 401,913.80/x
  3. Step 3: Cross multiply
    543,631.40x = 812,822.70 × 401,913.80
  4. Step 4: Simplify right side
    543,631.40x = 326,684,660,083.26
  5. Step 5: Solve for x
    x = 326,684,660,083.26/543,631.40
  6. Step 6: Final answer
    x = 600,930.45

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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.