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Finding the Fourth Proportional to 384,125.60, 575,842.80 and 251,069.60

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Solution

The fourth proportional to 384,125.60, 575,842.80 and 251,069.60 is: 376,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,125.60 : 575,842.80 = 251,069.60 : x
  2. Step 2: Convert to fraction form
    384,125.60/575,842.80 = 251,069.60/x
  3. Step 3: Cross multiply
    384,125.60x = 575,842.80 × 251,069.60
  4. Step 4: Simplify right side
    384,125.60x = 144,576,621,458.88
  5. Step 5: Solve for x
    x = 144,576,621,458.88/384,125.60
  6. Step 6: Final answer
    x = 376,378.51

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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.