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Finding the Fourth Proportional to 518,635.80, 778,536.90 and 400,829.40

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Solution

The fourth proportional to 518,635.80, 778,536.90 and 400,829.40 is: 601,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,635.80 : 778,536.90 = 400,829.40 : x
  2. Step 2: Convert to fraction form
    518,635.80/778,536.90 = 400,829.40/x
  3. Step 3: Cross multiply
    518,635.80x = 778,536.90 × 400,829.40
  4. Step 4: Simplify right side
    518,635.80x = 312,060,478,504.86
  5. Step 5: Solve for x
    x = 312,060,478,504.86/518,635.80
  6. Step 6: Final answer
    x = 601,694.83

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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.