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Finding the Fourth Proportional to 289,801.40, 434,918.10 and 149,487.80

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Solution

The fourth proportional to 289,801.40, 434,918.10 and 149,487.80 is: 224,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,801.40 : 434,918.10 = 149,487.80 : x
  2. Step 2: Convert to fraction form
    289,801.40/434,918.10 = 149,487.80/x
  3. Step 3: Cross multiply
    289,801.40x = 434,918.10 × 149,487.80
  4. Step 4: Simplify right side
    289,801.40x = 65,014,949,949.18
  5. Step 5: Solve for x
    x = 65,014,949,949.18/289,801.40
  6. Step 6: Final answer
    x = 224,343.12

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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.