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Finding the Fourth Proportional to 323,534.10, 485,354.61 and 146,037.18

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Solution

The fourth proportional to 323,534.10, 485,354.61 and 146,037.18 is: 219,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,534.10 : 485,354.61 = 146,037.18 : x
  2. Step 2: Convert to fraction form
    323,534.10/485,354.61 = 146,037.18/x
  3. Step 3: Cross multiply
    323,534.10x = 485,354.61 × 146,037.18
  4. Step 4: Simplify right side
    323,534.10x = 70,879,818,544.40
  5. Step 5: Solve for x
    x = 70,879,818,544.40/323,534.10
  6. Step 6: Final answer
    x = 219,079.90

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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.