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Finding the Fourth Proportional to 370,985.63, 511,960.23 and 209,837.21

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Solution

The fourth proportional to 370,985.63, 511,960.23 and 209,837.21 is: 289,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,985.63 : 511,960.23 = 209,837.21 : x
  2. Step 2: Convert to fraction form
    370,985.63/511,960.23 = 209,837.21/x
  3. Step 3: Cross multiply
    370,985.63x = 511,960.23 × 209,837.21
  4. Step 4: Simplify right side
    370,985.63x = 107,428,303,734.36
  5. Step 5: Solve for x
    x = 107,428,303,734.36/370,985.63
  6. Step 6: Final answer
    x = 289,575.38

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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.