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Finding the Fourth Proportional to 497,234.60, 745,851.90 and 419,474.60

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Solution

The fourth proportional to 497,234.60, 745,851.90 and 419,474.60 is: 629,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,234.60 : 745,851.90 = 419,474.60 : x
  2. Step 2: Convert to fraction form
    497,234.60/745,851.90 = 419,474.60/x
  3. Step 3: Cross multiply
    497,234.60x = 745,851.90 × 419,474.60
  4. Step 4: Simplify right side
    497,234.60x = 312,865,927,411.74
  5. Step 5: Solve for x
    x = 312,865,927,411.74/497,234.60
  6. Step 6: Final answer
    x = 629,211.90

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Similar ratio
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1.5x scale

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.