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Finding the Fourth Proportional to 289,761,295.80, 434,662,938.90 and 174,497,647.80

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Solution

The fourth proportional to 289,761,295.80, 434,662,938.90 and 174,497,647.80 is: 261,759,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,761,295.80 : 434,662,938.90 = 174,497,647.80 : x
  2. Step 2: Convert to fraction form
    289,761,295.80/434,662,938.90 = 174,497,647.80/x
  3. Step 3: Cross multiply
    289,761,295.80x = 434,662,938.90 × 174,497,647.80
  4. Step 4: Simplify right side
    289,761,295.80x = 75,847,660,423,885,120
  5. Step 5: Solve for x
    x = 75,847,660,423,885,120/289,761,295.80
  6. Step 6: Final answer
    x = 261,759,115.26

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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.