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Finding the Fourth Proportional to 384,198.48, 530,201.16 and 223,066.80

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Solution

The fourth proportional to 384,198.48, 530,201.16 and 223,066.80 is: 307,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,198.48 : 530,201.16 = 223,066.80 : x
  2. Step 2: Convert to fraction form
    384,198.48/530,201.16 = 223,066.80/x
  3. Step 3: Cross multiply
    384,198.48x = 530,201.16 × 223,066.80
  4. Step 4: Simplify right side
    384,198.48x = 118,270,276,117.49
  5. Step 5: Solve for x
    x = 118,270,276,117.49/384,198.48
  6. Step 6: Final answer
    x = 307,836.40

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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.