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Finding the Fourth Proportional to 612,097.65, 918,448.20 and 275,376.60

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Solution

The fourth proportional to 612,097.65, 918,448.20 and 275,376.60 is: 413,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,097.65 : 918,448.20 = 275,376.60 : x
  2. Step 2: Convert to fraction form
    612,097.65/918,448.20 = 275,376.60/x
  3. Step 3: Cross multiply
    612,097.65x = 918,448.20 × 275,376.60
  4. Step 4: Simplify right side
    612,097.65x = 252,919,142,592.12
  5. Step 5: Solve for x
    x = 252,919,142,592.12/612,097.65
  6. Step 6: Final answer
    x = 413,200.64

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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.