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Finding the Fourth Proportional to 385,269.60, 577,893.60 and 174,907.20

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Solution

The fourth proportional to 385,269.60, 577,893.60 and 174,907.20 is: 262,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,269.60 : 577,893.60 = 174,907.20 : x
  2. Step 2: Convert to fraction form
    385,269.60/577,893.60 = 174,907.20/x
  3. Step 3: Cross multiply
    385,269.60x = 577,893.60 × 174,907.20
  4. Step 4: Simplify right side
    385,269.60x = 101,077,751,473.92
  5. Step 5: Solve for x
    x = 101,077,751,473.92/385,269.60
  6. Step 6: Final answer
    x = 262,355.90

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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.