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Finding the Fourth Proportional to 364,029.60, 546,044.40 and 275,456.10

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Solution

The fourth proportional to 364,029.60, 546,044.40 and 275,456.10 is: 413,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,029.60 : 546,044.40 = 275,456.10 : x
  2. Step 2: Convert to fraction form
    364,029.60/546,044.40 = 275,456.10/x
  3. Step 3: Cross multiply
    364,029.60x = 546,044.40 × 275,456.10
  4. Step 4: Simplify right side
    364,029.60x = 150,411,260,850.84
  5. Step 5: Solve for x
    x = 150,411,260,850.84/364,029.60
  6. Step 6: Final answer
    x = 413,184.15

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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.