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Finding the Fourth Proportional to 820,216.40, 1,230,451.32 and 346,904.40

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Solution

The fourth proportional to 820,216.40, 1,230,451.32 and 346,904.40 is: 520,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,216.40 : 1,230,451.32 = 346,904.40 : x
  2. Step 2: Convert to fraction form
    820,216.40/1,230,451.32 = 346,904.40/x
  3. Step 3: Cross multiply
    820,216.40x = 1,230,451.32 × 346,904.40
  4. Step 4: Simplify right side
    820,216.40x = 426,848,976,893.81
  5. Step 5: Solve for x
    x = 426,848,976,893.81/820,216.40
  6. Step 6: Final answer
    x = 520,410.20

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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.