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Finding the Fourth Proportional to 511,824.44, 706,458.30 and 297,033.68

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Solution

The fourth proportional to 511,824.44, 706,458.30 and 297,033.68 is: 409,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,824.44 : 706,458.30 = 297,033.68 : x
  2. Step 2: Convert to fraction form
    511,824.44/706,458.30 = 297,033.68/x
  3. Step 3: Cross multiply
    511,824.44x = 706,458.30 × 297,033.68
  4. Step 4: Simplify right side
    511,824.44x = 209,841,908,615.54
  5. Step 5: Solve for x
    x = 209,841,908,615.54/511,824.44
  6. Step 6: Final answer
    x = 409,988.06

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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.