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Finding the Fourth Proportional to 342,032.94, 512,385.12 and 164,664.54

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Solution

The fourth proportional to 342,032.94, 512,385.12 and 164,664.54 is: 246,677.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,032.94 : 512,385.12 = 164,664.54 : x
  2. Step 2: Convert to fraction form
    342,032.94/512,385.12 = 164,664.54/x
  3. Step 3: Cross multiply
    342,032.94x = 512,385.12 × 164,664.54
  4. Step 4: Simplify right side
    342,032.94x = 84,371,660,087.64
  5. Step 5: Solve for x
    x = 84,371,660,087.64/342,032.94
  6. Step 6: Final answer
    x = 246,677.00

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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.