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Finding the Fourth Proportional to 503,438.72, 755,157.14 and 148,701.84

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Solution

The fourth proportional to 503,438.72, 755,157.14 and 148,701.84 is: 223,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,438.72 : 755,157.14 = 148,701.84 : x
  2. Step 2: Convert to fraction form
    503,438.72/755,157.14 = 148,701.84/x
  3. Step 3: Cross multiply
    503,438.72x = 755,157.14 × 148,701.84
  4. Step 4: Simplify right side
    503,438.72x = 112,293,256,207.14
  5. Step 5: Solve for x
    x = 112,293,256,207.14/503,438.72
  6. Step 6: Final answer
    x = 223,052.48

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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.