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Finding the Fourth Proportional to 316,829.38, 474,111.68 and 275,199.98

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Solution

The fourth proportional to 316,829.38, 474,111.68 and 275,199.98 is: 411,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,829.38 : 474,111.68 = 275,199.98 : x
  2. Step 2: Convert to fraction form
    316,829.38/474,111.68 = 275,199.98/x
  3. Step 3: Cross multiply
    316,829.38x = 474,111.68 × 275,199.98
  4. Step 4: Simplify right side
    316,829.38x = 130,475,524,853.77
  5. Step 5: Solve for x
    x = 130,475,524,853.77/316,829.38
  6. Step 6: Final answer
    x = 411,816.37

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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.