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Finding the Fourth Proportional to 768,053.60, 1,152,080.40 and 413,759.60

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Solution

The fourth proportional to 768,053.60, 1,152,080.40 and 413,759.60 is: 620,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,053.60 : 1,152,080.40 = 413,759.60 : x
  2. Step 2: Convert to fraction form
    768,053.60/1,152,080.40 = 413,759.60/x
  3. Step 3: Cross multiply
    768,053.60x = 1,152,080.40 × 413,759.60
  4. Step 4: Simplify right side
    768,053.60x = 476,684,325,471.84
  5. Step 5: Solve for x
    x = 476,684,325,471.84/768,053.60
  6. Step 6: Final answer
    x = 620,639.40

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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.