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Finding the Fourth Proportional to 323,740.80, 485,465.40 and 146,156.40

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Solution

The fourth proportional to 323,740.80, 485,465.40 and 146,156.40 is: 219,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,740.80 : 485,465.40 = 146,156.40 : x
  2. Step 2: Convert to fraction form
    323,740.80/485,465.40 = 146,156.40/x
  3. Step 3: Cross multiply
    323,740.80x = 485,465.40 × 146,156.40
  4. Step 4: Simplify right side
    323,740.80x = 70,953,875,188.56
  5. Step 5: Solve for x
    x = 70,953,875,188.56/323,740.80
  6. Step 6: Final answer
    x = 219,168.78

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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.