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Finding the Fourth Proportional to 434,047.80, 651,071.70 and 308,076.60

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Solution

The fourth proportional to 434,047.80, 651,071.70 and 308,076.60 is: 462,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,047.80 : 651,071.70 = 308,076.60 : x
  2. Step 2: Convert to fraction form
    434,047.80/651,071.70 = 308,076.60/x
  3. Step 3: Cross multiply
    434,047.80x = 651,071.70 × 308,076.60
  4. Step 4: Simplify right side
    434,047.80x = 200,579,955,692.22
  5. Step 5: Solve for x
    x = 200,579,955,692.22/434,047.80
  6. Step 6: Final answer
    x = 462,114.90

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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.