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Finding the Fourth Proportional to 370,641.68, 511,485.42 and 200,875.82

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Solution

The fourth proportional to 370,641.68, 511,485.42 and 200,875.82 is: 277,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,641.68 : 511,485.42 = 200,875.82 : x
  2. Step 2: Convert to fraction form
    370,641.68/511,485.42 = 200,875.82/x
  3. Step 3: Cross multiply
    370,641.68x = 511,485.42 × 200,875.82
  4. Step 4: Simplify right side
    370,641.68x = 102,745,053,160.54
  5. Step 5: Solve for x
    x = 102,745,053,160.54/370,641.68
  6. Step 6: Final answer
    x = 277,208.58

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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.