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Finding the Fourth Proportional to 312,994.53, 469,484.51 and 170,978.04

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Solution

The fourth proportional to 312,994.53, 469,484.51 and 170,978.04 is: 256,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,994.53 : 469,484.51 = 170,978.04 : x
  2. Step 2: Convert to fraction form
    312,994.53/469,484.51 = 170,978.04/x
  3. Step 3: Cross multiply
    312,994.53x = 469,484.51 × 170,978.04
  4. Step 4: Simplify right side
    312,994.53x = 80,271,540,475.27
  5. Step 5: Solve for x
    x = 80,271,540,475.27/312,994.53
  6. Step 6: Final answer
    x = 256,463.08

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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.