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Finding the Fourth Proportional to 476,343.79, 714,733.98 and 206,554.66

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Solution

The fourth proportional to 476,343.79, 714,733.98 and 206,554.66 is: 309,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,343.79 : 714,733.98 = 206,554.66 : x
  2. Step 2: Convert to fraction form
    476,343.79/714,733.98 = 206,554.66/x
  3. Step 3: Cross multiply
    476,343.79x = 714,733.98 × 206,554.66
  4. Step 4: Simplify right side
    476,343.79x = 147,631,634,229.35
  5. Step 5: Solve for x
    x = 147,631,634,229.35/476,343.79
  6. Step 6: Final answer
    x = 309,926.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.