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Finding the Fourth Proportional to 498,465.60, 746,661.60 and 415,521.60

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Solution

The fourth proportional to 498,465.60, 746,661.60 and 415,521.60 is: 622,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,465.60 : 746,661.60 = 415,521.60 : x
  2. Step 2: Convert to fraction form
    498,465.60/746,661.60 = 415,521.60/x
  3. Step 3: Cross multiply
    498,465.60x = 746,661.60 × 415,521.60
  4. Step 4: Simplify right side
    498,465.60x = 310,254,022,690.56
  5. Step 5: Solve for x
    x = 310,254,022,690.56/498,465.60
  6. Step 6: Final answer
    x = 622,418.12

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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.