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Finding the Fourth Proportional to 378,200.10, 566,522.55 and 260,004.90

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Solution

The fourth proportional to 378,200.10, 566,522.55 and 260,004.90 is: 389,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,200.10 : 566,522.55 = 260,004.90 : x
  2. Step 2: Convert to fraction form
    378,200.10/566,522.55 = 260,004.90/x
  3. Step 3: Cross multiply
    378,200.10x = 566,522.55 × 260,004.90
  4. Step 4: Simplify right side
    378,200.10x = 147,298,638,960.50
  5. Step 5: Solve for x
    x = 147,298,638,960.50/378,200.10
  6. Step 6: Final answer
    x = 389,472.77

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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.