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Finding the Fourth Proportional to 370,796.22, 511,725 and 209,652.84

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Solution

The fourth proportional to 370,796.22, 511,725 and 209,652.84 is: 289,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,796.22 : 511,725 = 209,652.84 : x
  2. Step 2: Convert to fraction form
    370,796.22/511,725 = 209,652.84/x
  3. Step 3: Cross multiply
    370,796.22x = 511,725 × 209,652.84
  4. Step 4: Simplify right side
    370,796.22x = 107,284,599,549
  5. Step 5: Solve for x
    x = 107,284,599,549/370,796.22
  6. Step 6: Final answer
    x = 289,335.74

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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.