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Finding the Fourth Proportional to 291,652.49, 402,522.14 and 164,339.93

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Solution

The fourth proportional to 291,652.49, 402,522.14 and 164,339.93 is: 226,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,652.49 : 402,522.14 = 164,339.93 : x
  2. Step 2: Convert to fraction form
    291,652.49/402,522.14 = 164,339.93/x
  3. Step 3: Cross multiply
    291,652.49x = 402,522.14 × 164,339.93
  4. Step 4: Simplify right side
    291,652.49x = 66,150,460,311.05
  5. Step 5: Solve for x
    x = 66,150,460,311.05/291,652.49
  6. Step 6: Final answer
    x = 226,812.60

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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.