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Finding the Fourth Proportional to 386,205.60, 578,433.60 and 228,741.60

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Solution

The fourth proportional to 386,205.60, 578,433.60 and 228,741.60 is: 342,594.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,205.60 : 578,433.60 = 228,741.60 : x
  2. Step 2: Convert to fraction form
    386,205.60/578,433.60 = 228,741.60/x
  3. Step 3: Cross multiply
    386,205.60x = 578,433.60 × 228,741.60
  4. Step 4: Simplify right side
    386,205.60x = 132,311,827,157.76
  5. Step 5: Solve for x
    x = 132,311,827,157.76/386,205.60
  6. Step 6: Final answer
    x = 342,594.27

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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.