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Finding the Fourth Proportional to 363,937.40, 545,906.10 and 206,473.40

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Solution

The fourth proportional to 363,937.40, 545,906.10 and 206,473.40 is: 309,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,937.40 : 545,906.10 = 206,473.40 : x
  2. Step 2: Convert to fraction form
    363,937.40/545,906.10 = 206,473.40/x
  3. Step 3: Cross multiply
    363,937.40x = 545,906.10 × 206,473.40
  4. Step 4: Simplify right side
    363,937.40x = 112,715,088,547.74
  5. Step 5: Solve for x
    x = 112,715,088,547.74/363,937.40
  6. Step 6: Final answer
    x = 309,710.10

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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.