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Finding the Fourth Proportional to 411,031.35, 616,633.29 and 174,368.79

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Solution

The fourth proportional to 411,031.35, 616,633.29 and 174,368.79 is: 261,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,031.35 : 616,633.29 = 174,368.79 : x
  2. Step 2: Convert to fraction form
    411,031.35/616,633.29 = 174,368.79/x
  3. Step 3: Cross multiply
    411,031.35x = 616,633.29 × 174,368.79
  4. Step 4: Simplify right side
    411,031.35x = 107,521,600,651.02
  5. Step 5: Solve for x
    x = 107,521,600,651.02/411,031.35
  6. Step 6: Final answer
    x = 261,589.78

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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.