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Finding the Fourth Proportional to 411,422.81, 616,665.76 and 257,620.68

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Solution

The fourth proportional to 411,422.81, 616,665.76 and 257,620.68 is: 386,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,422.81 : 616,665.76 = 257,620.68 : x
  2. Step 2: Convert to fraction form
    411,422.81/616,665.76 = 257,620.68/x
  3. Step 3: Cross multiply
    411,422.81x = 616,665.76 × 257,620.68
  4. Step 4: Simplify right side
    411,422.81x = 158,865,851,779.87
  5. Step 5: Solve for x
    x = 158,865,851,779.87/411,422.81
  6. Step 6: Final answer
    x = 386,137.69

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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.