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Finding the Fourth Proportional to 341,200.79, 511,866.80 and 130,822.33

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Solution

The fourth proportional to 341,200.79, 511,866.80 and 130,822.33 is: 196,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,200.79 : 511,866.80 = 130,822.33 : x
  2. Step 2: Convert to fraction form
    341,200.79/511,866.80 = 130,822.33/x
  3. Step 3: Cross multiply
    341,200.79x = 511,866.80 × 130,822.33
  4. Step 4: Simplify right side
    341,200.79x = 66,963,607,425.64
  5. Step 5: Solve for x
    x = 66,963,607,425.64/341,200.79
  6. Step 6: Final answer
    x = 196,258.65

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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.