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Finding the Fourth Proportional to 311,567.34, 467,350.80 and 74,909.94

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Solution

The fourth proportional to 311,567.34, 467,350.80 and 74,909.94 is: 112,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,567.34 : 467,350.80 = 74,909.94 : x
  2. Step 2: Convert to fraction form
    311,567.34/467,350.80 = 74,909.94/x
  3. Step 3: Cross multiply
    311,567.34x = 467,350.80 × 74,909.94
  4. Step 4: Simplify right side
    311,567.34x = 35,009,220,386.95
  5. Step 5: Solve for x
    x = 35,009,220,386.95/311,567.34
  6. Step 6: Final answer
    x = 112,364.86

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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.