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Finding the Fourth Proportional to 413,252.40, 619,878.60 and 360,764.40

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Solution

The fourth proportional to 413,252.40, 619,878.60 and 360,764.40 is: 541,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,252.40 : 619,878.60 = 360,764.40 : x
  2. Step 2: Convert to fraction form
    413,252.40/619,878.60 = 360,764.40/x
  3. Step 3: Cross multiply
    413,252.40x = 619,878.60 × 360,764.40
  4. Step 4: Simplify right side
    413,252.40x = 223,630,131,201.84
  5. Step 5: Solve for x
    x = 223,630,131,201.84/413,252.40
  6. Step 6: Final answer
    x = 541,146.60

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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.