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Finding the Fourth Proportional to 341,323.21, 511,569.78 and 241,512.22

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Solution

The fourth proportional to 341,323.21, 511,569.78 and 241,512.22 is: 361,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,323.21 : 511,569.78 = 241,512.22 : x
  2. Step 2: Convert to fraction form
    341,323.21/511,569.78 = 241,512.22/x
  3. Step 3: Cross multiply
    341,323.21x = 511,569.78 × 241,512.22
  4. Step 4: Simplify right side
    341,323.21x = 123,550,353,252.71
  5. Step 5: Solve for x
    x = 123,550,353,252.71/341,323.21
  6. Step 6: Final answer
    x = 361,974.66

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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.