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Finding the Fourth Proportional to 416,682.36, 575,021.82 and 225,695.16

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Solution

The fourth proportional to 416,682.36, 575,021.82 and 225,695.16 is: 311,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,682.36 : 575,021.82 = 225,695.16 : x
  2. Step 2: Convert to fraction form
    416,682.36/575,021.82 = 225,695.16/x
  3. Step 3: Cross multiply
    416,682.36x = 575,021.82 × 225,695.16
  4. Step 4: Simplify right side
    416,682.36x = 129,779,641,668.39
  5. Step 5: Solve for x
    x = 129,779,641,668.39/416,682.36
  6. Step 6: Final answer
    x = 311,459.41

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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.