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Finding the Fourth Proportional to 511,051.38, 705,242.04 and 296,211.43

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Solution

The fourth proportional to 511,051.38, 705,242.04 and 296,211.43 is: 408,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,051.38 : 705,242.04 = 296,211.43 : x
  2. Step 2: Convert to fraction form
    511,051.38/705,242.04 = 296,211.43/x
  3. Step 3: Cross multiply
    511,051.38x = 705,242.04 × 296,211.43
  4. Step 4: Simplify right side
    511,051.38x = 208,900,754,601.47
  5. Step 5: Solve for x
    x = 208,900,754,601.47/511,051.38
  6. Step 6: Final answer
    x = 408,766.64

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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.