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Finding the Fourth Proportional to 308,271.84, 462,438.52 and 83,635.98

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Solution

The fourth proportional to 308,271.84, 462,438.52 and 83,635.98 is: 125,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,271.84 : 462,438.52 = 83,635.98 : x
  2. Step 2: Convert to fraction form
    308,271.84/462,438.52 = 83,635.98/x
  3. Step 3: Cross multiply
    308,271.84x = 462,438.52 × 83,635.98
  4. Step 4: Simplify right side
    308,271.84x = 38,676,498,809.95
  5. Step 5: Solve for x
    x = 38,676,498,809.95/308,271.84
  6. Step 6: Final answer
    x = 125,462.32

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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.