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Finding the Fourth Proportional to 389,715.60, 584,573.40 and 378,051.60

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Solution

The fourth proportional to 389,715.60, 584,573.40 and 378,051.60 is: 567,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,715.60 : 584,573.40 = 378,051.60 : x
  2. Step 2: Convert to fraction form
    389,715.60/584,573.40 = 378,051.60/x
  3. Step 3: Cross multiply
    389,715.60x = 584,573.40 × 378,051.60
  4. Step 4: Simplify right side
    389,715.60x = 220,998,909,187.44
  5. Step 5: Solve for x
    x = 220,998,909,187.44/389,715.60
  6. Step 6: Final answer
    x = 567,077.40

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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.