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Finding the Fourth Proportional to 316,830.38, 474,113.18 and 275,200.98

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Solution

The fourth proportional to 316,830.38, 474,113.18 and 275,200.98 is: 411,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,830.38 : 474,113.18 = 275,200.98 : x
  2. Step 2: Convert to fraction form
    316,830.38/474,113.18 = 275,200.98/x
  3. Step 3: Cross multiply
    316,830.38x = 474,113.18 × 275,200.98
  4. Step 4: Simplify right side
    316,830.38x = 130,476,411,766.92
  5. Step 5: Solve for x
    x = 130,476,411,766.92/316,830.38
  6. Step 6: Final answer
    x = 411,817.87

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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.