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Finding the Fourth Proportional to 497,809.60, 746,714.40 and 420,049.60

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Solution

The fourth proportional to 497,809.60, 746,714.40 and 420,049.60 is: 630,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,809.60 : 746,714.40 = 420,049.60 : x
  2. Step 2: Convert to fraction form
    497,809.60/746,714.40 = 420,049.60/x
  3. Step 3: Cross multiply
    497,809.60x = 746,714.40 × 420,049.60
  4. Step 4: Simplify right side
    497,809.60x = 313,657,085,034.24
  5. Step 5: Solve for x
    x = 313,657,085,034.24/497,809.60
  6. Step 6: Final answer
    x = 630,074.40

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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.