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Finding the Fourth Proportional to 219,308.76, 328,963.14 and 53,096.76

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Solution

The fourth proportional to 219,308.76, 328,963.14 and 53,096.76 is: 79,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,308.76 : 328,963.14 = 53,096.76 : x
  2. Step 2: Convert to fraction form
    219,308.76/328,963.14 = 53,096.76/x
  3. Step 3: Cross multiply
    219,308.76x = 328,963.14 × 53,096.76
  4. Step 4: Simplify right side
    219,308.76x = 17,466,876,893.43
  5. Step 5: Solve for x
    x = 17,466,876,893.43/219,308.76
  6. Step 6: Final answer
    x = 79,645.14

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1.5x scale

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.