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Finding the Fourth Proportional to 370,729.17, 511,628.28 and 209,599.20

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Solution

The fourth proportional to 370,729.17, 511,628.28 and 209,599.20 is: 289,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,729.17 : 511,628.28 = 209,599.20 : x
  2. Step 2: Convert to fraction form
    370,729.17/511,628.28 = 209,599.20/x
  3. Step 3: Cross multiply
    370,729.17x = 511,628.28 × 209,599.20
  4. Step 4: Simplify right side
    370,729.17x = 107,236,878,185.38
  5. Step 5: Solve for x
    x = 107,236,878,185.38/370,729.17
  6. Step 6: Final answer
    x = 289,259.35

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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.