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Finding the Fourth Proportional to 400,722.18, 551,881.52 and 309,742.98

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Solution

The fourth proportional to 400,722.18, 551,881.52 and 309,742.98 is: 426,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,722.18 : 551,881.52 = 309,742.98 : x
  2. Step 2: Convert to fraction form
    400,722.18/551,881.52 = 309,742.98/x
  3. Step 3: Cross multiply
    400,722.18x = 551,881.52 × 309,742.98
  4. Step 4: Simplify right side
    400,722.18x = 170,941,426,611.73
  5. Step 5: Solve for x
    x = 170,941,426,611.73/400,722.18
  6. Step 6: Final answer
    x = 426,583.39

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Why These Related Problems?

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