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Finding the Fourth Proportional to 340,178.04, 510,255.72 and 182,714.04

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Solution

The fourth proportional to 340,178.04, 510,255.72 and 182,714.04 is: 274,064.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,178.04 : 510,255.72 = 182,714.04 : x
  2. Step 2: Convert to fraction form
    340,178.04/510,255.72 = 182,714.04/x
  3. Step 3: Cross multiply
    340,178.04x = 510,255.72 × 182,714.04
  4. Step 4: Simplify right side
    340,178.04x = 93,230,884,034.31
  5. Step 5: Solve for x
    x = 93,230,884,034.31/340,178.04
  6. Step 6: Final answer
    x = 274,064.97

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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.