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Finding the Fourth Proportional to 338,327.74, 507,332.68 and 196,213.40

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Solution

The fourth proportional to 338,327.74, 507,332.68 and 196,213.40 is: 294,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,327.74 : 507,332.68 = 196,213.40 : x
  2. Step 2: Convert to fraction form
    338,327.74/507,332.68 = 196,213.40/x
  3. Step 3: Cross multiply
    338,327.74x = 507,332.68 × 196,213.40
  4. Step 4: Simplify right side
    338,327.74x = 99,545,470,073.91
  5. Step 5: Solve for x
    x = 99,545,470,073.91/338,327.74
  6. Step 6: Final answer
    x = 294,227.93

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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.