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Finding the Fourth Proportional to 321,281.90, 443,371.59 and 178,044.32

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Solution

The fourth proportional to 321,281.90, 443,371.59 and 178,044.32 is: 245,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,281.90 : 443,371.59 = 178,044.32 : x
  2. Step 2: Convert to fraction form
    321,281.90/443,371.59 = 178,044.32/x
  3. Step 3: Cross multiply
    321,281.90x = 443,371.59 × 178,044.32
  4. Step 4: Simplify right side
    321,281.90x = 78,939,793,248.87
  5. Step 5: Solve for x
    x = 78,939,793,248.87/321,281.90
  6. Step 6: Final answer
    x = 245,702.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.