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Finding the Fourth Proportional to 498,421.98, 747,596.61 and 194,759.06

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Solution

The fourth proportional to 498,421.98, 747,596.61 and 194,759.06 is: 292,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,421.98 : 747,596.61 = 194,759.06 : x
  2. Step 2: Convert to fraction form
    498,421.98/747,596.61 = 194,759.06/x
  3. Step 3: Cross multiply
    498,421.98x = 747,596.61 × 194,759.06
  4. Step 4: Simplify right side
    498,421.98x = 145,601,209,284.80
  5. Step 5: Solve for x
    x = 145,601,209,284.80/498,421.98
  6. Step 6: Final answer
    x = 292,124.37

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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.