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Finding the Fourth Proportional to 367,008.54, 506,528.55 and 205,928.70

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Solution

The fourth proportional to 367,008.54, 506,528.55 and 205,928.70 is: 284,213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,008.54 : 506,528.55 = 205,928.70 : x
  2. Step 2: Convert to fraction form
    367,008.54/506,528.55 = 205,928.70/x
  3. Step 3: Cross multiply
    367,008.54x = 506,528.55 × 205,928.70
  4. Step 4: Simplify right side
    367,008.54x = 104,308,765,814.39
  5. Step 5: Solve for x
    x = 104,308,765,814.39/367,008.54
  6. Step 6: Final answer
    x = 284,213.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.