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Finding the Fourth Proportional to 289,043.20, 433,564.80 and 78,680.80

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Solution

The fourth proportional to 289,043.20, 433,564.80 and 78,680.80 is: 118,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,043.20 : 433,564.80 = 78,680.80 : x
  2. Step 2: Convert to fraction form
    289,043.20/433,564.80 = 78,680.80/x
  3. Step 3: Cross multiply
    289,043.20x = 433,564.80 × 78,680.80
  4. Step 4: Simplify right side
    289,043.20x = 34,113,225,315.84
  5. Step 5: Solve for x
    x = 34,113,225,315.84/289,043.20
  6. Step 6: Final answer
    x = 118,021.20

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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.