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Finding the Fourth Proportional to 408,335.80, 611,337.30 and 366,345.40

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Solution

The fourth proportional to 408,335.80, 611,337.30 and 366,345.40 is: 548,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,335.80 : 611,337.30 = 366,345.40 : x
  2. Step 2: Convert to fraction form
    408,335.80/611,337.30 = 366,345.40/x
  3. Step 3: Cross multiply
    408,335.80x = 611,337.30 × 366,345.40
  4. Step 4: Simplify right side
    408,335.80x = 223,960,607,703.42
  5. Step 5: Solve for x
    x = 223,960,607,703.42/408,335.80
  6. Step 6: Final answer
    x = 548,471.64

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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.