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Finding the Fourth Proportional to 494,876.88, 742,220.55 and 210,724.02

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Solution

The fourth proportional to 494,876.88, 742,220.55 and 210,724.02 is: 316,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,876.88 : 742,220.55 = 210,724.02 : x
  2. Step 2: Convert to fraction form
    494,876.88/742,220.55 = 210,724.02/x
  3. Step 3: Cross multiply
    494,876.88x = 742,220.55 × 210,724.02
  4. Step 4: Simplify right side
    494,876.88x = 156,403,698,022.61
  5. Step 5: Solve for x
    x = 156,403,698,022.61/494,876.88
  6. Step 6: Final answer
    x = 316,045.68

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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.