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Finding the Fourth Proportional to 243,417.16, 364,591.68 and 200,818.09

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Solution

The fourth proportional to 243,417.16, 364,591.68 and 200,818.09 is: 300,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,417.16 : 364,591.68 = 200,818.09 : x
  2. Step 2: Convert to fraction form
    243,417.16/364,591.68 = 200,818.09/x
  3. Step 3: Cross multiply
    243,417.16x = 364,591.68 × 200,818.09
  4. Step 4: Simplify right side
    243,417.16x = 73,216,604,807.49
  5. Step 5: Solve for x
    x = 73,216,604,807.49/243,417.16
  6. Step 6: Final answer
    x = 300,786.54

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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.