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Finding the Fourth Proportional to 312,312.64, 430,991.60 and 169,072.68

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Solution

The fourth proportional to 312,312.64, 430,991.60 and 169,072.68 is: 233,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,312.64 : 430,991.60 = 169,072.68 : x
  2. Step 2: Convert to fraction form
    312,312.64/430,991.60 = 169,072.68/x
  3. Step 3: Cross multiply
    312,312.64x = 430,991.60 × 169,072.68
  4. Step 4: Simplify right side
    312,312.64x = 72,868,904,869.49
  5. Step 5: Solve for x
    x = 72,868,904,869.49/312,312.64
  6. Step 6: Final answer
    x = 233,320.38

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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.