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Finding the Fourth Proportional to 546,114.90, 753,664.42 and 304,399.46

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Solution

The fourth proportional to 546,114.90, 753,664.42 and 304,399.46 is: 420,085.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,114.90 : 753,664.42 = 304,399.46 : x
  2. Step 2: Convert to fraction form
    546,114.90/753,664.42 = 304,399.46/x
  3. Step 3: Cross multiply
    546,114.90x = 753,664.42 × 304,399.46
  4. Step 4: Simplify right side
    546,114.90x = 229,415,042,469.21
  5. Step 5: Solve for x
    x = 229,415,042,469.21/546,114.90
  6. Step 6: Final answer
    x = 420,085.67

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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.