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Finding the Fourth Proportional to 494,208.56, 740,803.52 and 194,567.60

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Solution

The fourth proportional to 494,208.56, 740,803.52 and 194,567.60 is: 291,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,208.56 : 740,803.52 = 194,567.60 : x
  2. Step 2: Convert to fraction form
    494,208.56/740,803.52 = 194,567.60/x
  3. Step 3: Cross multiply
    494,208.56x = 740,803.52 × 194,567.60
  4. Step 4: Simplify right side
    494,208.56x = 144,136,362,957.95
  5. Step 5: Solve for x
    x = 144,136,362,957.95/494,208.56
  6. Step 6: Final answer
    x = 291,650.88

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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.