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Finding the Fourth Proportional to 301,000.88, 415,381.80 and 166,864.88

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Solution

The fourth proportional to 301,000.88, 415,381.80 and 166,864.88 is: 230,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,000.88 : 415,381.80 = 166,864.88 : x
  2. Step 2: Convert to fraction form
    301,000.88/415,381.80 = 166,864.88/x
  3. Step 3: Cross multiply
    301,000.88x = 415,381.80 × 166,864.88
  4. Step 4: Simplify right side
    301,000.88x = 69,312,634,211.18
  5. Step 5: Solve for x
    x = 69,312,634,211.18/301,000.88
  6. Step 6: Final answer
    x = 230,273.86

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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.