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Finding the Fourth Proportional to 588,902.02, 812,709.21 and 334,276.90

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Solution

The fourth proportional to 588,902.02, 812,709.21 and 334,276.90 is: 461,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,902.02 : 812,709.21 = 334,276.90 : x
  2. Step 2: Convert to fraction form
    588,902.02/812,709.21 = 334,276.90/x
  3. Step 3: Cross multiply
    588,902.02x = 812,709.21 × 334,276.90
  4. Step 4: Simplify right side
    588,902.02x = 271,669,915,320.25
  5. Step 5: Solve for x
    x = 271,669,915,320.25/588,902.02
  6. Step 6: Final answer
    x = 461,315.98

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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.