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Finding the Fourth Proportional to 548,066.64, 820,032.80 and 323,549.20

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Solution

The fourth proportional to 548,066.64, 820,032.80 and 323,549.20 is: 484,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,066.64 : 820,032.80 = 323,549.20 : x
  2. Step 2: Convert to fraction form
    548,066.64/820,032.80 = 323,549.20/x
  3. Step 3: Cross multiply
    548,066.64x = 820,032.80 × 323,549.20
  4. Step 4: Simplify right side
    548,066.64x = 265,320,956,413.76
  5. Step 5: Solve for x
    x = 265,320,956,413.76/548,066.64
  6. Step 6: Final answer
    x = 484,103.46

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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.