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Finding the Fourth Proportional to 478,124.73, 713,689.07 and 421,375.50

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Solution

The fourth proportional to 478,124.73, 713,689.07 and 421,375.50 is: 628,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,124.73 : 713,689.07 = 421,375.50 : x
  2. Step 2: Convert to fraction form
    478,124.73/713,689.07 = 421,375.50/x
  3. Step 3: Cross multiply
    478,124.73x = 713,689.07 × 421,375.50
  4. Step 4: Simplify right side
    478,124.73x = 300,731,086,608.91
  5. Step 5: Solve for x
    x = 300,731,086,608.91/478,124.73
  6. Step 6: Final answer
    x = 628,980.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.