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Finding the Fourth Proportional to 462,324.61, 693,459.23 and 192,384.57

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Solution

The fourth proportional to 462,324.61, 693,459.23 and 192,384.57 is: 288,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,324.61 : 693,459.23 = 192,384.57 : x
  2. Step 2: Convert to fraction form
    462,324.61/693,459.23 = 192,384.57/x
  3. Step 3: Cross multiply
    462,324.61x = 693,459.23 × 192,384.57
  4. Step 4: Simplify right side
    462,324.61x = 133,410,853,513.92
  5. Step 5: Solve for x
    x = 133,410,853,513.92/462,324.61
  6. Step 6: Final answer
    x = 288,565.33

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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.