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Finding the Fourth Proportional to 370,427.76, 511,165.08 and 209,289.60

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Solution

The fourth proportional to 370,427.76, 511,165.08 and 209,289.60 is: 288,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,427.76 : 511,165.08 = 209,289.60 : x
  2. Step 2: Convert to fraction form
    370,427.76/511,165.08 = 209,289.60/x
  3. Step 3: Cross multiply
    370,427.76x = 511,165.08 × 209,289.60
  4. Step 4: Simplify right side
    370,427.76x = 106,981,535,127.17
  5. Step 5: Solve for x
    x = 106,981,535,127.17/370,427.76
  6. Step 6: Final answer
    x = 288,805.39

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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.