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Finding the Fourth Proportional to 354,384.40, 489,032.49 and 193,238.14

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Solution

The fourth proportional to 354,384.40, 489,032.49 and 193,238.14 is: 266,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,384.40 : 489,032.49 = 193,238.14 : x
  2. Step 2: Convert to fraction form
    354,384.40/489,032.49 = 193,238.14/x
  3. Step 3: Cross multiply
    354,384.40x = 489,032.49 × 193,238.14
  4. Step 4: Simplify right side
    354,384.40x = 94,499,728,767.17
  5. Step 5: Solve for x
    x = 94,499,728,767.17/354,384.40
  6. Step 6: Final answer
    x = 266,658.83

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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.