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Finding the Fourth Proportional to 312,779.70, 469,515.15 and 172,811.70

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Solution

The fourth proportional to 312,779.70, 469,515.15 and 172,811.70 is: 259,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,779.70 : 469,515.15 = 172,811.70 : x
  2. Step 2: Convert to fraction form
    312,779.70/469,515.15 = 172,811.70/x
  3. Step 3: Cross multiply
    312,779.70x = 469,515.15 × 172,811.70
  4. Step 4: Simplify right side
    312,779.70x = 81,137,711,247.26
  5. Step 5: Solve for x
    x = 81,137,711,247.26/312,779.70
  6. Step 6: Final answer
    x = 259,408.50

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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.