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Finding the Fourth Proportional to 548,720.11, 823,228.08 and 228,765.64

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Solution

The fourth proportional to 548,720.11, 823,228.08 and 228,765.64 is: 343,210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,720.11 : 823,228.08 = 228,765.64 : x
  2. Step 2: Convert to fraction form
    548,720.11/823,228.08 = 228,765.64/x
  3. Step 3: Cross multiply
    548,720.11x = 823,228.08 × 228,765.64
  4. Step 4: Simplify right side
    548,720.11x = 188,326,298,587.17
  5. Step 5: Solve for x
    x = 188,326,298,587.17/548,720.11
  6. Step 6: Final answer
    x = 343,210.13

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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.