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Finding the Fourth Proportional to 462,786.40, 693,718.80 and 213,032.80

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Solution

The fourth proportional to 462,786.40, 693,718.80 and 213,032.80 is: 319,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,786.40 : 693,718.80 = 213,032.80 : x
  2. Step 2: Convert to fraction form
    462,786.40/693,718.80 = 213,032.80/x
  3. Step 3: Cross multiply
    462,786.40x = 693,718.80 × 213,032.80
  4. Step 4: Simplify right side
    462,786.40x = 147,784,858,376.64
  5. Step 5: Solve for x
    x = 147,784,858,376.64/462,786.40
  6. Step 6: Final answer
    x = 319,337.08

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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.