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Finding the Fourth Proportional to 497,783.60, 746,675.40 and 420,023.60

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Solution

The fourth proportional to 497,783.60, 746,675.40 and 420,023.60 is: 630,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,783.60 : 746,675.40 = 420,023.60 : x
  2. Step 2: Convert to fraction form
    497,783.60/746,675.40 = 420,023.60/x
  3. Step 3: Cross multiply
    497,783.60x = 746,675.40 × 420,023.60
  4. Step 4: Simplify right side
    497,783.60x = 313,621,289,539.44
  5. Step 5: Solve for x
    x = 313,621,289,539.44/497,783.60
  6. Step 6: Final answer
    x = 630,035.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.