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Finding the Fourth Proportional to 301,435.99, 415,980.02 and 165,472.25

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Solution

The fourth proportional to 301,435.99, 415,980.02 and 165,472.25 is: 228,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,435.99 : 415,980.02 = 165,472.25 : x
  2. Step 2: Convert to fraction form
    301,435.99/415,980.02 = 165,472.25/x
  3. Step 3: Cross multiply
    301,435.99x = 415,980.02 × 165,472.25
  4. Step 4: Simplify right side
    301,435.99x = 68,833,149,864.45
  5. Step 5: Solve for x
    x = 68,833,149,864.45/301,435.99
  6. Step 6: Final answer
    x = 228,350.80

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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.