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Finding the Fourth Proportional to 299,314.64, 412,946.00 and 230,425.17

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Solution

The fourth proportional to 299,314.64, 412,946.00 and 230,425.17 is: 317,903.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,314.64 : 412,946.00 = 230,425.17 : x
  2. Step 2: Convert to fraction form
    299,314.64/412,946.00 = 230,425.17/x
  3. Step 3: Cross multiply
    299,314.64x = 412,946.00 × 230,425.17
  4. Step 4: Simplify right side
    299,314.64x = 95,153,152,737.06
  5. Step 5: Solve for x
    x = 95,153,152,737.06/299,314.64
  6. Step 6: Final answer
    x = 317,903.43

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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.