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Finding the Fourth Proportional to 351,468.80, 527,203.20 and 257,465.60

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Solution

The fourth proportional to 351,468.80, 527,203.20 and 257,465.60 is: 386,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,468.80 : 527,203.20 = 257,465.60 : x
  2. Step 2: Convert to fraction form
    351,468.80/527,203.20 = 257,465.60/x
  3. Step 3: Cross multiply
    351,468.80x = 527,203.20 × 257,465.60
  4. Step 4: Simplify right side
    351,468.80x = 135,736,688,209.92
  5. Step 5: Solve for x
    x = 135,736,688,209.92/351,468.80
  6. Step 6: Final answer
    x = 386,198.40

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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.