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Finding the Fourth Proportional to 316,033.68, 473,951.70 and 105,622.41

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Solution

The fourth proportional to 316,033.68, 473,951.70 and 105,622.41 is: 158,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,033.68 : 473,951.70 = 105,622.41 : x
  2. Step 2: Convert to fraction form
    316,033.68/473,951.70 = 105,622.41/x
  3. Step 3: Cross multiply
    316,033.68x = 473,951.70 × 105,622.41
  4. Step 4: Simplify right side
    316,033.68x = 50,059,920,777.60
  5. Step 5: Solve for x
    x = 50,059,920,777.60/316,033.68
  6. Step 6: Final answer
    x = 158,400.59

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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.