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Finding the Fourth Proportional to 491,011.12, 677,688.40 and 307,334.88

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Solution

The fourth proportional to 491,011.12, 677,688.40 and 307,334.88 is: 424,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,011.12 : 677,688.40 = 307,334.88 : x
  2. Step 2: Convert to fraction form
    491,011.12/677,688.40 = 307,334.88/x
  3. Step 3: Cross multiply
    491,011.12x = 677,688.40 × 307,334.88
  4. Step 4: Simplify right side
    491,011.12x = 208,277,283,091.39
  5. Step 5: Solve for x
    x = 208,277,283,091.39/491,011.12
  6. Step 6: Final answer
    x = 424,180.38

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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.