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Finding the Fourth Proportional to 367,457.82, 507,087.50 and 206,308.76

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Solution

The fourth proportional to 367,457.82, 507,087.50 and 206,308.76 is: 284,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,457.82 : 507,087.50 = 206,308.76 : x
  2. Step 2: Convert to fraction form
    367,457.82/507,087.50 = 206,308.76/x
  3. Step 3: Cross multiply
    367,457.82x = 507,087.50 × 206,308.76
  4. Step 4: Simplify right side
    367,457.82x = 104,616,593,336.50
  5. Step 5: Solve for x
    x = 104,616,593,336.50/367,457.82
  6. Step 6: Final answer
    x = 284,703.68

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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.