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Finding the Fourth Proportional to 430,664.28, 645,996.62 and 193,730.20

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Solution

The fourth proportional to 430,664.28, 645,996.62 and 193,730.20 is: 290,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,664.28 : 645,996.62 = 193,730.20 : x
  2. Step 2: Convert to fraction form
    430,664.28/645,996.62 = 193,730.20/x
  3. Step 3: Cross multiply
    430,664.28x = 645,996.62 × 193,730.20
  4. Step 4: Simplify right side
    430,664.28x = 125,149,054,391.92
  5. Step 5: Solve for x
    x = 125,149,054,391.92/430,664.28
  6. Step 6: Final answer
    x = 290,595.39

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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.