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Finding the Fourth Proportional to 433,086.63, 649,740.65 and 180,283.07

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Solution

The fourth proportional to 433,086.63, 649,740.65 and 180,283.07 is: 270,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,086.63 : 649,740.65 = 180,283.07 : x
  2. Step 2: Convert to fraction form
    433,086.63/649,740.65 = 180,283.07/x
  3. Step 3: Cross multiply
    433,086.63x = 649,740.65 × 180,283.07
  4. Step 4: Simplify right side
    433,086.63x = 117,137,234,935.68
  5. Step 5: Solve for x
    x = 117,137,234,935.68/433,086.63
  6. Step 6: Final answer
    x = 270,470.68

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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.