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Finding the Fourth Proportional to 345,160.84, 517,827.52 and 274,350.64

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Solution

The fourth proportional to 345,160.84, 517,827.52 and 274,350.64 is: 411,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,160.84 : 517,827.52 = 274,350.64 : x
  2. Step 2: Convert to fraction form
    345,160.84/517,827.52 = 274,350.64/x
  3. Step 3: Cross multiply
    345,160.84x = 517,827.52 × 274,350.64
  4. Step 4: Simplify right side
    345,160.84x = 142,066,311,521.61
  5. Step 5: Solve for x
    x = 142,066,311,521.61/345,160.84
  6. Step 6: Final answer
    x = 411,594.52

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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.