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Finding the Fourth Proportional to 430,662.27, 645,993.65 and 193,728.16

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Solution

The fourth proportional to 430,662.27, 645,993.65 and 193,728.16 is: 290,592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,662.27 : 645,993.65 = 193,728.16 : x
  2. Step 2: Convert to fraction form
    430,662.27/645,993.65 = 193,728.16/x
  3. Step 3: Cross multiply
    430,662.27x = 645,993.65 × 193,728.16
  4. Step 4: Simplify right side
    430,662.27x = 125,147,161,186.18
  5. Step 5: Solve for x
    x = 125,147,161,186.18/430,662.27
  6. Step 6: Final answer
    x = 290,592.35

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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.