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Finding the Fourth Proportional to 578,033.60, 866,704.80 and 298,097.60

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Solution

The fourth proportional to 578,033.60, 866,704.80 and 298,097.60 is: 446,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,033.60 : 866,704.80 = 298,097.60 : x
  2. Step 2: Convert to fraction form
    578,033.60/866,704.80 = 298,097.60/x
  3. Step 3: Cross multiply
    578,033.60x = 866,704.80 × 298,097.60
  4. Step 4: Simplify right side
    578,033.60x = 258,362,620,788.48
  5. Step 5: Solve for x
    x = 258,362,620,788.48/578,033.60
  6. Step 6: Final answer
    x = 446,968.17

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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.