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Finding the Fourth Proportional to 548,816.64, 823,225.02 and 361,784.40

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Solution

The fourth proportional to 548,816.64, 823,225.02 and 361,784.40 is: 542,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,816.64 : 823,225.02 = 361,784.40 : x
  2. Step 2: Convert to fraction form
    548,816.64/823,225.02 = 361,784.40/x
  3. Step 3: Cross multiply
    548,816.64x = 823,225.02 × 361,784.40
  4. Step 4: Simplify right side
    548,816.64x = 297,829,969,925.69
  5. Step 5: Solve for x
    x = 297,829,969,925.69/548,816.64
  6. Step 6: Final answer
    x = 542,676.64

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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.