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Finding the Fourth Proportional to 381,840.40, 572,760.60 and 319,632.40

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Solution

The fourth proportional to 381,840.40, 572,760.60 and 319,632.40 is: 479,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,840.40 : 572,760.60 = 319,632.40 : x
  2. Step 2: Convert to fraction form
    381,840.40/572,760.60 = 319,632.40/x
  3. Step 3: Cross multiply
    381,840.40x = 572,760.60 × 319,632.40
  4. Step 4: Simplify right side
    381,840.40x = 183,072,845,203.44
  5. Step 5: Solve for x
    x = 183,072,845,203.44/381,840.40
  6. Step 6: Final answer
    x = 479,448.60

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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.