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Finding the Fourth Proportional to 365,988.71, 504,949.29 and 204,818.15

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Solution

The fourth proportional to 365,988.71, 504,949.29 and 204,818.15 is: 282,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,988.71 : 504,949.29 = 204,818.15 : x
  2. Step 2: Convert to fraction form
    365,988.71/504,949.29 = 204,818.15/x
  3. Step 3: Cross multiply
    365,988.71x = 504,949.29 × 204,818.15
  4. Step 4: Simplify right side
    365,988.71x = 103,422,779,421.61
  5. Step 5: Solve for x
    x = 103,422,779,421.61/365,988.71
  6. Step 6: Final answer
    x = 282,584.62

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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.