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Finding the Fourth Proportional to 456,133, 684,093.39 and 171,852.04

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Solution

The fourth proportional to 456,133, 684,093.39 and 171,852.04 is: 257,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,133 : 684,093.39 = 171,852.04 : x
  2. Step 2: Convert to fraction form
    456,133/684,093.39 = 171,852.04/x
  3. Step 3: Cross multiply
    456,133x = 684,093.39 × 171,852.04
  4. Step 4: Simplify right side
    456,133x = 117,562,844,622.02
  5. Step 5: Solve for x
    x = 117,562,844,622.02/456,133
  6. Step 6: Final answer
    x = 257,738.08

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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.