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Finding the Fourth Proportional to 434,295.80, 651,530.78 and 149,996.78

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Solution

The fourth proportional to 434,295.80, 651,530.78 and 149,996.78 is: 225,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,295.80 : 651,530.78 = 149,996.78 : x
  2. Step 2: Convert to fraction form
    434,295.80/651,530.78 = 149,996.78/x
  3. Step 3: Cross multiply
    434,295.80x = 651,530.78 × 149,996.78
  4. Step 4: Simplify right side
    434,295.80x = 97,727,515,063.25
  5. Step 5: Solve for x
    x = 97,727,515,063.25/434,295.80
  6. Step 6: Final answer
    x = 225,025.24

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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.