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Finding the Fourth Proportional to 505,223.94, 757,613.56 and 189,459.41

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Solution

The fourth proportional to 505,223.94, 757,613.56 and 189,459.41 is: 284,105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,223.94 : 757,613.56 = 189,459.41 : x
  2. Step 2: Convert to fraction form
    505,223.94/757,613.56 = 189,459.41/x
  3. Step 3: Cross multiply
    505,223.94x = 757,613.56 × 189,459.41
  4. Step 4: Simplify right side
    505,223.94x = 143,537,018,085.60
  5. Step 5: Solve for x
    x = 143,537,018,085.60/505,223.94
  6. Step 6: Final answer
    x = 284,105.73

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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.