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Finding the Fourth Proportional to 291,414.94, 402,165.02 and 162,353.34

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Solution

The fourth proportional to 291,414.94, 402,165.02 and 162,353.34 is: 224,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,414.94 : 402,165.02 = 162,353.34 : x
  2. Step 2: Convert to fraction form
    291,414.94/402,165.02 = 162,353.34/x
  3. Step 3: Cross multiply
    291,414.94x = 402,165.02 × 162,353.34
  4. Step 4: Simplify right side
    291,414.94x = 65,292,834,228.17
  5. Step 5: Solve for x
    x = 65,292,834,228.17/291,414.94
  6. Step 6: Final answer
    x = 224,054.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.