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Finding the Fourth Proportional to 311,343.34, 429,664.35 and 184,127.98

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Solution

The fourth proportional to 311,343.34, 429,664.35 and 184,127.98 is: 254,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,343.34 : 429,664.35 = 184,127.98 : x
  2. Step 2: Convert to fraction form
    311,343.34/429,664.35 = 184,127.98/x
  3. Step 3: Cross multiply
    311,343.34x = 429,664.35 × 184,127.98
  4. Step 4: Simplify right side
    311,343.34x = 79,113,228,843.51
  5. Step 5: Solve for x
    x = 79,113,228,843.51/311,343.34
  6. Step 6: Final answer
    x = 254,102.85

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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.