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Finding the Fourth Proportional to 402,076.80, 602,596.80 and 308,116.80

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Solution

The fourth proportional to 402,076.80, 602,596.80 and 308,116.80 is: 461,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,076.80 : 602,596.80 = 308,116.80 : x
  2. Step 2: Convert to fraction form
    402,076.80/602,596.80 = 308,116.80/x
  3. Step 3: Cross multiply
    402,076.80x = 602,596.80 × 308,116.80
  4. Step 4: Simplify right side
    402,076.80x = 185,670,197,706.24
  5. Step 5: Solve for x
    x = 185,670,197,706.24/402,076.80
  6. Step 6: Final answer
    x = 461,777.94

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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.