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Finding the Fourth Proportional to 200,514.20, 300,848.10 and 197,365.40

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Solution

The fourth proportional to 200,514.20, 300,848.10 and 197,365.40 is: 296,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,514.20 : 300,848.10 = 197,365.40 : x
  2. Step 2: Convert to fraction form
    200,514.20/300,848.10 = 197,365.40/x
  3. Step 3: Cross multiply
    200,514.20x = 300,848.10 × 197,365.40
  4. Step 4: Simplify right side
    200,514.20x = 59,377,005,595.74
  5. Step 5: Solve for x
    x = 59,377,005,595.74/200,514.20
  6. Step 6: Final answer
    x = 296,123.69

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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.