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Finding the Fourth Proportional to 301,051.80, 415,470.12 and 166,915.80

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Solution

The fourth proportional to 301,051.80, 415,470.12 and 166,915.80 is: 230,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,051.80 : 415,470.12 = 166,915.80 : x
  2. Step 2: Convert to fraction form
    301,051.80/415,470.12 = 166,915.80/x
  3. Step 3: Cross multiply
    301,051.80x = 415,470.12 × 166,915.80
  4. Step 4: Simplify right side
    301,051.80x = 69,348,527,455.90
  5. Step 5: Solve for x
    x = 69,348,527,455.90/301,051.80
  6. Step 6: Final answer
    x = 230,354.14

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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.