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Finding the Fourth Proportional to 312,445.50, 468,748.17 and 90,829.50

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Solution

The fourth proportional to 312,445.50, 468,748.17 and 90,829.50 is: 136,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,445.50 : 468,748.17 = 90,829.50 : x
  2. Step 2: Convert to fraction form
    312,445.50/468,748.17 = 90,829.50/x
  3. Step 3: Cross multiply
    312,445.50x = 468,748.17 × 90,829.50
  4. Step 4: Simplify right side
    312,445.50x = 42,576,161,907.02
  5. Step 5: Solve for x
    x = 42,576,161,907.02/312,445.50
  6. Step 6: Final answer
    x = 136,267.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.