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Finding the Fourth Proportional to 463,999.94, 696,103.47 and 148,475.78

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Solution

The fourth proportional to 463,999.94, 696,103.47 and 148,475.78 is: 222,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,999.94 : 696,103.47 = 148,475.78 : x
  2. Step 2: Convert to fraction form
    463,999.94/696,103.47 = 148,475.78/x
  3. Step 3: Cross multiply
    463,999.94x = 696,103.47 × 148,475.78
  4. Step 4: Simplify right side
    463,999.94x = 103,354,505,668.96
  5. Step 5: Solve for x
    x = 103,354,505,668.96/463,999.94
  6. Step 6: Final answer
    x = 222,746.81

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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.