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Finding the Fourth Proportional to 316,197.84, 474,297.34 and 79,538.90

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Solution

The fourth proportional to 316,197.84, 474,297.34 and 79,538.90 is: 119,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,197.84 : 474,297.34 = 79,538.90 : x
  2. Step 2: Convert to fraction form
    316,197.84/474,297.34 = 79,538.90/x
  3. Step 3: Cross multiply
    316,197.84x = 474,297.34 × 79,538.90
  4. Step 4: Simplify right side
    316,197.84x = 37,725,088,696.53
  5. Step 5: Solve for x
    x = 37,725,088,696.53/316,197.84
  6. Step 6: Final answer
    x = 119,308.50

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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.