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Finding the Fourth Proportional to 370,312.63, 511,030.34 and 200,546.71

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Solution

The fourth proportional to 370,312.63, 511,030.34 and 200,546.71 is: 276,753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,312.63 : 511,030.34 = 200,546.71 : x
  2. Step 2: Convert to fraction form
    370,312.63/511,030.34 = 200,546.71/x
  3. Step 3: Cross multiply
    370,312.63x = 511,030.34 × 200,546.71
  4. Step 4: Simplify right side
    370,312.63x = 102,485,452,394.45
  5. Step 5: Solve for x
    x = 102,485,452,394.45/370,312.63
  6. Step 6: Final answer
    x = 276,753.87

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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.