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Finding the Fourth Proportional to 410,566.08, 616,002.12 and 250,969.44

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Solution

The fourth proportional to 410,566.08, 616,002.12 and 250,969.44 is: 376,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,566.08 : 616,002.12 = 250,969.44 : x
  2. Step 2: Convert to fraction form
    410,566.08/616,002.12 = 250,969.44/x
  3. Step 3: Cross multiply
    410,566.08x = 616,002.12 × 250,969.44
  4. Step 4: Simplify right side
    410,566.08x = 154,597,707,095.21
  5. Step 5: Solve for x
    x = 154,597,707,095.21/410,566.08
  6. Step 6: Final answer
    x = 376,547.69

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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.