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Finding the Fourth Proportional to 510,304.24, 765,455.64 and 173,379.88

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Solution

The fourth proportional to 510,304.24, 765,455.64 and 173,379.88 is: 260,069.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,304.24 : 765,455.64 = 173,379.88 : x
  2. Step 2: Convert to fraction form
    510,304.24/765,455.64 = 173,379.88/x
  3. Step 3: Cross multiply
    510,304.24x = 765,455.64 × 173,379.88
  4. Step 4: Simplify right side
    510,304.24x = 132,714,607,008.52
  5. Step 5: Solve for x
    x = 132,714,607,008.52/510,304.24
  6. Step 6: Final answer
    x = 260,069.58

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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.