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Finding the Fourth Proportional to 319,005.76, 478,576.68 and 159,167.64

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Solution

The fourth proportional to 319,005.76, 478,576.68 and 159,167.64 is: 238,785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,005.76 : 478,576.68 = 159,167.64 : x
  2. Step 2: Convert to fraction form
    319,005.76/478,576.68 = 159,167.64/x
  3. Step 3: Cross multiply
    319,005.76x = 478,576.68 × 159,167.64
  4. Step 4: Simplify right side
    319,005.76x = 76,173,920,714.64
  5. Step 5: Solve for x
    x = 76,173,920,714.64/319,005.76
  6. Step 6: Final answer
    x = 238,785.41

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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.