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Finding the Fourth Proportional to 337,478.88, 507,005.64 and 197,335.92

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Solution

The fourth proportional to 337,478.88, 507,005.64 and 197,335.92 is: 296,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,478.88 : 507,005.64 = 197,335.92 : x
  2. Step 2: Convert to fraction form
    337,478.88/507,005.64 = 197,335.92/x
  3. Step 3: Cross multiply
    337,478.88x = 507,005.64 × 197,335.92
  4. Step 4: Simplify right side
    337,478.88x = 100,050,424,414.59
  5. Step 5: Solve for x
    x = 100,050,424,414.59/337,478.88
  6. Step 6: Final answer
    x = 296,464.25

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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.