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Finding the Fourth Proportional to 296,043.50, 408,549.75 and 161,907.50

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Solution

The fourth proportional to 296,043.50, 408,549.75 and 161,907.50 is: 223,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,043.50 : 408,549.75 = 161,907.50 : x
  2. Step 2: Convert to fraction form
    296,043.50/408,549.75 = 161,907.50/x
  3. Step 3: Cross multiply
    296,043.50x = 408,549.75 × 161,907.50
  4. Step 4: Simplify right side
    296,043.50x = 66,147,268,648.13
  5. Step 5: Solve for x
    x = 66,147,268,648.13/296,043.50
  6. Step 6: Final answer
    x = 223,437.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.