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Finding the Fourth Proportional to 304,593, 420,280.02 and 197,148.12

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Solution

The fourth proportional to 304,593, 420,280.02 and 197,148.12 is: 272,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,593 : 420,280.02 = 197,148.12 : x
  2. Step 2: Convert to fraction form
    304,593/420,280.02 = 197,148.12/x
  3. Step 3: Cross multiply
    304,593x = 420,280.02 × 197,148.12
  4. Step 4: Simplify right side
    304,593x = 82,857,415,816.56
  5. Step 5: Solve for x
    x = 82,857,415,816.56/304,593
  6. Step 6: Final answer
    x = 272,026.66

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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.