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Finding the Fourth Proportional to 329,859.90, 494,461.80 and 152,056.80

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Solution

The fourth proportional to 329,859.90, 494,461.80 and 152,056.80 is: 227,933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,859.90 : 494,461.80 = 152,056.80 : x
  2. Step 2: Convert to fraction form
    329,859.90/494,461.80 = 152,056.80/x
  3. Step 3: Cross multiply
    329,859.90x = 494,461.80 × 152,056.80
  4. Step 4: Simplify right side
    329,859.90x = 75,186,279,030.24
  5. Step 5: Solve for x
    x = 75,186,279,030.24/329,859.90
  6. Step 6: Final answer
    x = 227,933.98

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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.