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Finding the Fourth Proportional to 370,826.16, 511,735.50 and 201,059.88

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Solution

The fourth proportional to 370,826.16, 511,735.50 and 201,059.88 is: 277,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,826.16 : 511,735.50 = 201,059.88 : x
  2. Step 2: Convert to fraction form
    370,826.16/511,735.50 = 201,059.88/x
  3. Step 3: Cross multiply
    370,826.16x = 511,735.50 × 201,059.88
  4. Step 4: Simplify right side
    370,826.16x = 102,889,478,221.74
  5. Step 5: Solve for x
    x = 102,889,478,221.74/370,826.16
  6. Step 6: Final answer
    x = 277,460.14

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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.