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Finding the Fourth Proportional to 466,048.34, 699,070.34 and 146,223.62

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Solution

The fourth proportional to 466,048.34, 699,070.34 and 146,223.62 is: 219,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,048.34 : 699,070.34 = 146,223.62 : x
  2. Step 2: Convert to fraction form
    466,048.34/699,070.34 = 146,223.62/x
  3. Step 3: Cross multiply
    466,048.34x = 699,070.34 × 146,223.62
  4. Step 4: Simplify right side
    466,048.34x = 102,220,595,749.43
  5. Step 5: Solve for x
    x = 102,220,595,749.43/466,048.34
  6. Step 6: Final answer
    x = 219,334.75

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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.