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Finding the Fourth Proportional to 511,836.16, 706,105.38 and 296,851.72

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Solution

The fourth proportional to 511,836.16, 706,105.38 and 296,851.72 is: 409,522.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,836.16 : 706,105.38 = 296,851.72 : x
  2. Step 2: Convert to fraction form
    511,836.16/706,105.38 = 296,851.72/x
  3. Step 3: Cross multiply
    511,836.16x = 706,105.38 × 296,851.72
  4. Step 4: Simplify right side
    511,836.16x = 209,608,596,554.25
  5. Step 5: Solve for x
    x = 209,608,596,554.25/511,836.16
  6. Step 6: Final answer
    x = 409,522.84

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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.