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Finding the Fourth Proportional to 511,116.61, 705,343.69 and 293,307.93

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Solution

The fourth proportional to 511,116.61, 705,343.69 and 293,307.93 is: 404,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,116.61 : 705,343.69 = 293,307.93 : x
  2. Step 2: Convert to fraction form
    511,116.61/705,343.69 = 293,307.93/x
  3. Step 3: Cross multiply
    511,116.61x = 705,343.69 × 293,307.93
  4. Step 4: Simplify right side
    511,116.61x = 206,882,898,682.55
  5. Step 5: Solve for x
    x = 206,882,898,682.55/511,116.61
  6. Step 6: Final answer
    x = 404,766.54

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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.