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Finding the Fourth Proportional to 497,730.60, 746,595.90 and 419,970.60

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Solution

The fourth proportional to 497,730.60, 746,595.90 and 419,970.60 is: 629,955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,730.60 : 746,595.90 = 419,970.60 : x
  2. Step 2: Convert to fraction form
    497,730.60/746,595.90 = 419,970.60/x
  3. Step 3: Cross multiply
    497,730.60x = 746,595.90 × 419,970.60
  4. Step 4: Simplify right side
    497,730.60x = 313,548,328,080.54
  5. Step 5: Solve for x
    x = 313,548,328,080.54/497,730.60
  6. Step 6: Final answer
    x = 629,955.90

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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.