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Finding the Fourth Proportional to 456,098.80, 684,148.20 and 219,465.40

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Solution

The fourth proportional to 456,098.80, 684,148.20 and 219,465.40 is: 329,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,098.80 : 684,148.20 = 219,465.40 : x
  2. Step 2: Convert to fraction form
    456,098.80/684,148.20 = 219,465.40/x
  3. Step 3: Cross multiply
    456,098.80x = 684,148.20 × 219,465.40
  4. Step 4: Simplify right side
    456,098.80x = 150,146,858,372.28
  5. Step 5: Solve for x
    x = 150,146,858,372.28/456,098.80
  6. Step 6: Final answer
    x = 329,198.10

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1.5x scale

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.