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Finding the Fourth Proportional to 366,839.94, 551,104.32 and 259,018.40

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Solution

The fourth proportional to 366,839.94, 551,104.32 and 259,018.40 is: 389,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,839.94 : 551,104.32 = 259,018.40 : x
  2. Step 2: Convert to fraction form
    366,839.94/551,104.32 = 259,018.40/x
  3. Step 3: Cross multiply
    366,839.94x = 551,104.32 × 259,018.40
  4. Step 4: Simplify right side
    366,839.94x = 142,746,159,199.49
  5. Step 5: Solve for x
    x = 142,746,159,199.49/366,839.94
  6. Step 6: Final answer
    x = 389,123.82

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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.