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Finding the Fourth Proportional to 415,150.50, 572,913.45 and 231,383.98

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Solution

The fourth proportional to 415,150.50, 572,913.45 and 231,383.98 is: 319,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,150.50 : 572,913.45 = 231,383.98 : x
  2. Step 2: Convert to fraction form
    415,150.50/572,913.45 = 231,383.98/x
  3. Step 3: Cross multiply
    415,150.50x = 572,913.45 × 231,383.98
  4. Step 4: Simplify right side
    415,150.50x = 132,562,996,267.28
  5. Step 5: Solve for x
    x = 132,562,996,267.28/415,150.50
  6. Step 6: Final answer
    x = 319,313.11

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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.