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Finding the Fourth Proportional to 370,505.12, 511,290.38 and 209,356.70

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Solution

The fourth proportional to 370,505.12, 511,290.38 and 209,356.70 is: 288,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,505.12 : 511,290.38 = 209,356.70 : x
  2. Step 2: Convert to fraction form
    370,505.12/511,290.38 = 209,356.70/x
  3. Step 3: Cross multiply
    370,505.12x = 511,290.38 × 209,356.70
  4. Step 4: Simplify right side
    370,505.12x = 107,042,064,665.49
  5. Step 5: Solve for x
    x = 107,042,064,665.49/370,505.12
  6. Step 6: Final answer
    x = 288,908.47

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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.