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Finding the Fourth Proportional to 291,492.31, 437,487.69 and 114,123.88

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Solution

The fourth proportional to 291,492.31, 437,487.69 and 114,123.88 is: 171,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,492.31 : 437,487.69 = 114,123.88 : x
  2. Step 2: Convert to fraction form
    291,492.31/437,487.69 = 114,123.88/x
  3. Step 3: Cross multiply
    291,492.31x = 437,487.69 × 114,123.88
  4. Step 4: Simplify right side
    291,492.31x = 49,927,791,969.28
  5. Step 5: Solve for x
    x = 49,927,791,969.28/291,492.31
  6. Step 6: Final answer
    x = 171,283.39

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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.