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Finding the Fourth Proportional to 677,466.12, 934,835.86 and 391,078.47

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Solution

The fourth proportional to 677,466.12, 934,835.86 and 391,078.47 is: 539,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,466.12 : 934,835.86 = 391,078.47 : x
  2. Step 2: Convert to fraction form
    677,466.12/934,835.86 = 391,078.47/x
  3. Step 3: Cross multiply
    677,466.12x = 934,835.86 × 391,078.47
  4. Step 4: Simplify right side
    677,466.12x = 365,594,177,829.93
  5. Step 5: Solve for x
    x = 365,594,177,829.93/677,466.12
  6. Step 6: Final answer
    x = 539,649.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.