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Finding the Fourth Proportional to 413,999.80, 620,999.70 and 189,613.60

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Solution

The fourth proportional to 413,999.80, 620,999.70 and 189,613.60 is: 284,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,999.80 : 620,999.70 = 189,613.60 : x
  2. Step 2: Convert to fraction form
    413,999.80/620,999.70 = 189,613.60/x
  3. Step 3: Cross multiply
    413,999.80x = 620,999.70 × 189,613.60
  4. Step 4: Simplify right side
    413,999.80x = 117,749,988,715.92
  5. Step 5: Solve for x
    x = 117,749,988,715.92/413,999.80
  6. Step 6: Final answer
    x = 284,420.40

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1.5x scale

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.